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Finding the Fourth Proportional to 348,790, 523,189.92 and 99,472

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Solution

The fourth proportional to 348,790, 523,189.92 and 99,472 is: 149,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,790 : 523,189.92 = 99,472 : x
  2. Step 2: Convert to fraction form
    348,790/523,189.92 = 99,472/x
  3. Step 3: Cross multiply
    348,790x = 523,189.92 × 99,472
  4. Step 4: Simplify right side
    348,790x = 52,042,747,722.24
  5. Step 5: Solve for x
    x = 52,042,747,722.24/348,790
  6. Step 6: Final answer
    x = 149,209.40

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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.