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Finding the Fourth Proportional to 348,781, 523,176.42 and 99,463

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Solution

The fourth proportional to 348,781, 523,176.42 and 99,463 is: 149,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,781 : 523,176.42 = 99,463 : x
  2. Step 2: Convert to fraction form
    348,781/523,176.42 = 99,463/x
  3. Step 3: Cross multiply
    348,781x = 523,176.42 × 99,463
  4. Step 4: Simplify right side
    348,781x = 52,036,696,262.46
  5. Step 5: Solve for x
    x = 52,036,696,262.46/348,781
  6. Step 6: Final answer
    x = 149,195.90

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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.