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Finding the Fourth Proportional to 680,497, 939,085.86 and 378,691.24

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Solution

The fourth proportional to 680,497, 939,085.86 and 378,691.24 is: 522,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,497 : 939,085.86 = 378,691.24 : x
  2. Step 2: Convert to fraction form
    680,497/939,085.86 = 378,691.24/x
  3. Step 3: Cross multiply
    680,497x = 939,085.86 × 378,691.24
  4. Step 4: Simplify right side
    680,497x = 355,623,588,789.87
  5. Step 5: Solve for x
    x = 355,623,588,789.87/680,497
  6. Step 6: Final answer
    x = 522,593.91

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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.