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Finding the Fourth Proportional to 348,691.36, 523,037.07 and 138,329.31

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Solution

The fourth proportional to 348,691.36, 523,037.07 and 138,329.31 is: 207,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,691.36 : 523,037.07 = 138,329.31 : x
  2. Step 2: Convert to fraction form
    348,691.36/523,037.07 = 138,329.31/x
  3. Step 3: Cross multiply
    348,691.36x = 523,037.07 × 138,329.31
  4. Step 4: Simplify right side
    348,691.36x = 72,351,356,997.52
  5. Step 5: Solve for x
    x = 72,351,356,997.52/348,691.36
  6. Step 6: Final answer
    x = 207,493.98

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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.