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Finding the Fourth Proportional to 500,294.52, 689,940 and 463,139.82

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Solution

The fourth proportional to 500,294.52, 689,940 and 463,139.82 is: 638,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,294.52 : 689,940 = 463,139.82 : x
  2. Step 2: Convert to fraction form
    500,294.52/689,940 = 463,139.82/x
  3. Step 3: Cross multiply
    500,294.52x = 689,940 × 463,139.82
  4. Step 4: Simplify right side
    500,294.52x = 319,538,687,410.80
  5. Step 5: Solve for x
    x = 319,538,687,410.80/500,294.52
  6. Step 6: Final answer
    x = 638,701.15

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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.