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Finding the Fourth Proportional to 430,019.70, 644,416.98 and 316,809.60

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Solution

The fourth proportional to 430,019.70, 644,416.98 and 316,809.60 is: 474,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,019.70 : 644,416.98 = 316,809.60 : x
  2. Step 2: Convert to fraction form
    430,019.70/644,416.98 = 316,809.60/x
  3. Step 3: Cross multiply
    430,019.70x = 644,416.98 × 316,809.60
  4. Step 4: Simplify right side
    430,019.70x = 204,157,485,667.01
  5. Step 5: Solve for x
    x = 204,157,485,667.01/430,019.70
  6. Step 6: Final answer
    x = 474,763.10

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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.