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Finding the Fourth Proportional to 381,717.05, 572,397.84 and 141,663.77

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Solution

The fourth proportional to 381,717.05, 572,397.84 and 141,663.77 is: 212,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,717.05 : 572,397.84 = 141,663.77 : x
  2. Step 2: Convert to fraction form
    381,717.05/572,397.84 = 141,663.77/x
  3. Step 3: Cross multiply
    381,717.05x = 572,397.84 × 141,663.77
  4. Step 4: Simplify right side
    381,717.05x = 81,088,033,092.27
  5. Step 5: Solve for x
    x = 81,088,033,092.27/381,717.05
  6. Step 6: Final answer
    x = 212,429.69

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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.