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Finding the Fourth Proportional to 381,381.86, 572,054.25 and 141,542.48

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Solution

The fourth proportional to 381,381.86, 572,054.25 and 141,542.48 is: 212,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381.86 : 572,054.25 = 141,542.48 : x
  2. Step 2: Convert to fraction form
    381,381.86/572,054.25 = 141,542.48/x
  3. Step 3: Cross multiply
    381,381.86x = 572,054.25 × 141,542.48
  4. Step 4: Simplify right side
    381,381.86x = 80,969,977,239.54
  5. Step 5: Solve for x
    x = 80,969,977,239.54/381,381.86
  6. Step 6: Final answer
    x = 212,306.84

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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.