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Finding the Fourth Proportional to 497,732.76, 686,930.40 and 314,237.88

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Solution

The fourth proportional to 497,732.76, 686,930.40 and 314,237.88 is: 433,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,732.76 : 686,930.40 = 314,237.88 : x
  2. Step 2: Convert to fraction form
    497,732.76/686,930.40 = 314,237.88/x
  3. Step 3: Cross multiply
    497,732.76x = 686,930.40 × 314,237.88
  4. Step 4: Simplify right side
    497,732.76x = 215,859,552,603.55
  5. Step 5: Solve for x
    x = 215,859,552,603.55/497,732.76
  6. Step 6: Final answer
    x = 433,685.64

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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.