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Finding the Fourth Proportional to 690,762.57, 952,990.34 and 418,731.27

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Solution

The fourth proportional to 690,762.57, 952,990.34 and 418,731.27 is: 577,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,762.57 : 952,990.34 = 418,731.27 : x
  2. Step 2: Convert to fraction form
    690,762.57/952,990.34 = 418,731.27/x
  3. Step 3: Cross multiply
    690,762.57x = 952,990.34 × 418,731.27
  4. Step 4: Simplify right side
    690,762.57x = 399,046,853,272.28
  5. Step 5: Solve for x
    x = 399,046,853,272.28/690,762.57
  6. Step 6: Final answer
    x = 577,690.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.