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Finding the Fourth Proportional to 231,439.87, 319,215.49 and 163,385.90

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Solution

The fourth proportional to 231,439.87, 319,215.49 and 163,385.90 is: 225,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,439.87 : 319,215.49 = 163,385.90 : x
  2. Step 2: Convert to fraction form
    231,439.87/319,215.49 = 163,385.90/x
  3. Step 3: Cross multiply
    231,439.87x = 319,215.49 × 163,385.90
  4. Step 4: Simplify right side
    231,439.87x = 52,155,310,127.59
  5. Step 5: Solve for x
    x = 52,155,310,127.59/231,439.87
  6. Step 6: Final answer
    x = 225,351.45

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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.