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Finding the Fourth Proportional to 523,171.13, 784,557.43 and 309,999.17

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Solution

The fourth proportional to 523,171.13, 784,557.43 and 309,999.17 is: 464,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,171.13 : 784,557.43 = 309,999.17 : x
  2. Step 2: Convert to fraction form
    523,171.13/784,557.43 = 309,999.17/x
  3. Step 3: Cross multiply
    523,171.13x = 784,557.43 × 309,999.17
  4. Step 4: Simplify right side
    523,171.13x = 243,212,153,303.73
  5. Step 5: Solve for x
    x = 243,212,153,303.73/523,171.13
  6. Step 6: Final answer
    x = 464,880.69

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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.