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Finding the Fourth Proportional to 523,291,207.80, 784,936,811.70 and 159,784,980.60

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Solution

The fourth proportional to 523,291,207.80, 784,936,811.70 and 159,784,980.60 is: 239,677,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,291,207.80 : 784,936,811.70 = 159,784,980.60 : x
  2. Step 2: Convert to fraction form
    523,291,207.80/784,936,811.70 = 159,784,980.60/x
  3. Step 3: Cross multiply
    523,291,207.80x = 784,936,811.70 × 159,784,980.60
  4. Step 4: Simplify right side
    523,291,207.80x = 125,421,113,229,710,352
  5. Step 5: Solve for x
    x = 125,421,113,229,710,352/523,291,207.80
  6. Step 6: Final answer
    x = 239,677,470.90

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.