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Finding the Fourth Proportional to 268,468.40, 402,702.60 and 81,489.20

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Solution

The fourth proportional to 268,468.40, 402,702.60 and 81,489.20 is: 122,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,468.40 : 402,702.60 = 81,489.20 : x
  2. Step 2: Convert to fraction form
    268,468.40/402,702.60 = 81,489.20/x
  3. Step 3: Cross multiply
    268,468.40x = 402,702.60 × 81,489.20
  4. Step 4: Simplify right side
    268,468.40x = 32,815,912,711.92
  5. Step 5: Solve for x
    x = 32,815,912,711.92/268,468.40
  6. Step 6: Final answer
    x = 122,233.80

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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.