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Finding the Fourth Proportional to 381,842.72, 572,719.20 and 101,381.60

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Solution

The fourth proportional to 381,842.72, 572,719.20 and 101,381.60 is: 152,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,842.72 : 572,719.20 = 101,381.60 : x
  2. Step 2: Convert to fraction form
    381,842.72/572,719.20 = 101,381.60/x
  3. Step 3: Cross multiply
    381,842.72x = 572,719.20 × 101,381.60
  4. Step 4: Simplify right side
    381,842.72x = 58,063,188,846.72
  5. Step 5: Solve for x
    x = 58,063,188,846.72/381,842.72
  6. Step 6: Final answer
    x = 152,060.48

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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.