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Finding the Fourth Proportional to 487,272.10, 730,130.55 and 407,956.90

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Solution

The fourth proportional to 487,272.10, 730,130.55 and 407,956.90 is: 611,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,272.10 : 730,130.55 = 407,956.90 : x
  2. Step 2: Convert to fraction form
    487,272.10/730,130.55 = 407,956.90/x
  3. Step 3: Cross multiply
    487,272.10x = 730,130.55 × 407,956.90
  4. Step 4: Simplify right side
    487,272.10x = 297,861,795,773.30
  5. Step 5: Solve for x
    x = 297,861,795,773.30/487,272.10
  6. Step 6: Final answer
    x = 611,284.32

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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.