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Finding the Fourth Proportional to 381,780.88, 572,491.50 and 141,728.47

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Solution

The fourth proportional to 381,780.88, 572,491.50 and 141,728.47 is: 212,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,780.88 : 572,491.50 = 141,728.47 : x
  2. Step 2: Convert to fraction form
    381,780.88/572,491.50 = 141,728.47/x
  3. Step 3: Cross multiply
    381,780.88x = 572,491.50 × 141,728.47
  4. Step 4: Simplify right side
    381,780.88x = 81,138,344,383.01
  5. Step 5: Solve for x
    x = 81,138,344,383.01/381,780.88
  6. Step 6: Final answer
    x = 212,525.95

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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.