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Finding the Fourth Proportional to 381,335.24, 572,153.52 and 144,740.72

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Solution

The fourth proportional to 381,335.24, 572,153.52 and 144,740.72 is: 217,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,335.24 : 572,153.52 = 144,740.72 : x
  2. Step 2: Convert to fraction form
    381,335.24/572,153.52 = 144,740.72/x
  3. Step 3: Cross multiply
    381,335.24x = 572,153.52 × 144,740.72
  4. Step 4: Simplify right side
    381,335.24x = 82,813,912,435.33
  5. Step 5: Solve for x
    x = 82,813,912,435.33/381,335.24
  6. Step 6: Final answer
    x = 217,168.26

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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.