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Finding the Fourth Proportional to 381,541.74, 572,279.40 and 144,886.20

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Solution

The fourth proportional to 381,541.74, 572,279.40 and 144,886.20 is: 217,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,541.74 : 572,279.40 = 144,886.20 : x
  2. Step 2: Convert to fraction form
    381,541.74/572,279.40 = 144,886.20/x
  3. Step 3: Cross multiply
    381,541.74x = 572,279.40 × 144,886.20
  4. Step 4: Simplify right side
    381,541.74x = 82,915,387,604.28
  5. Step 5: Solve for x
    x = 82,915,387,604.28/381,541.74
  6. Step 6: Final answer
    x = 217,316.69

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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.