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Finding the Fourth Proportional to 285,695.20, 428,542.80 and 86,046.40

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Solution

The fourth proportional to 285,695.20, 428,542.80 and 86,046.40 is: 129,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,695.20 : 428,542.80 = 86,046.40 : x
  2. Step 2: Convert to fraction form
    285,695.20/428,542.80 = 86,046.40/x
  3. Step 3: Cross multiply
    285,695.20x = 428,542.80 × 86,046.40
  4. Step 4: Simplify right side
    285,695.20x = 36,874,565,185.92
  5. Step 5: Solve for x
    x = 36,874,565,185.92/285,695.20
  6. Step 6: Final answer
    x = 129,069.60

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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.