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Finding the Fourth Proportional to 381,753.84, 572,404.50 and 145,112.16

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Solution

The fourth proportional to 381,753.84, 572,404.50 and 145,112.16 is: 217,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,753.84 : 572,404.50 = 145,112.16 : x
  2. Step 2: Convert to fraction form
    381,753.84/572,404.50 = 145,112.16/x
  3. Step 3: Cross multiply
    381,753.84x = 572,404.50 × 145,112.16
  4. Step 4: Simplify right side
    381,753.84x = 83,062,853,388.72
  5. Step 5: Solve for x
    x = 83,062,853,388.72/381,753.84
  6. Step 6: Final answer
    x = 217,582.23

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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.