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Finding the Fourth Proportional to 442,906.10, 664,359.15 and 431,242.10

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Solution

The fourth proportional to 442,906.10, 664,359.15 and 431,242.10 is: 646,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.10 : 664,359.15 = 431,242.10 : x
  2. Step 2: Convert to fraction form
    442,906.10/664,359.15 = 431,242.10/x
  3. Step 3: Cross multiply
    442,906.10x = 664,359.15 × 431,242.10
  4. Step 4: Simplify right side
    442,906.10x = 286,499,635,000.22
  5. Step 5: Solve for x
    x = 286,499,635,000.22/442,906.10
  6. Step 6: Final answer
    x = 646,863.15

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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.