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Finding the Fourth Proportional to 278,598.81, 384,490.17 and 157,761.39

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Solution

The fourth proportional to 278,598.81, 384,490.17 and 157,761.39 is: 217,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,598.81 : 384,490.17 = 157,761.39 : x
  2. Step 2: Convert to fraction form
    278,598.81/384,490.17 = 157,761.39/x
  3. Step 3: Cross multiply
    278,598.81x = 384,490.17 × 157,761.39
  4. Step 4: Simplify right side
    278,598.81x = 60,657,703,660.54
  5. Step 5: Solve for x
    x = 60,657,703,660.54/278,598.81
  6. Step 6: Final answer
    x = 217,724.20

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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.