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Finding the Fourth Proportional to 491,641.29, 678,463.02 and 276,781.77

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Solution

The fourth proportional to 491,641.29, 678,463.02 and 276,781.77 is: 381,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,641.29 : 678,463.02 = 276,781.77 : x
  2. Step 2: Convert to fraction form
    491,641.29/678,463.02 = 276,781.77/x
  3. Step 3: Cross multiply
    491,641.29x = 678,463.02 × 276,781.77
  4. Step 4: Simplify right side
    491,641.29x = 187,786,195,555.15
  5. Step 5: Solve for x
    x = 187,786,195,555.15/491,641.29
  6. Step 6: Final answer
    x = 381,957.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.