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Finding the Fourth Proportional to 497,085.73, 745,613.71 and 137,278.53

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Solution

The fourth proportional to 497,085.73, 745,613.71 and 137,278.53 is: 205,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,085.73 : 745,613.71 = 137,278.53 : x
  2. Step 2: Convert to fraction form
    497,085.73/745,613.71 = 137,278.53/x
  3. Step 3: Cross multiply
    497,085.73x = 745,613.71 × 137,278.53
  4. Step 4: Simplify right side
    497,085.73x = 102,356,753,713.45
  5. Step 5: Solve for x
    x = 102,356,753,713.45/497,085.73
  6. Step 6: Final answer
    x = 205,913.68

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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.