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Finding the Fourth Proportional to 285,897.92, 394,505.28 and 158,542.40

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Solution

The fourth proportional to 285,897.92, 394,505.28 and 158,542.40 is: 218,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,897.92 : 394,505.28 = 158,542.40 : x
  2. Step 2: Convert to fraction form
    285,897.92/394,505.28 = 158,542.40/x
  3. Step 3: Cross multiply
    285,897.92x = 394,505.28 × 158,542.40
  4. Step 4: Simplify right side
    285,897.92x = 62,545,813,903.87
  5. Step 5: Solve for x
    x = 62,545,813,903.87/285,897.92
  6. Step 6: Final answer
    x = 218,769.74

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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.