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Finding the Fourth Proportional to 285,970.91, 428,959.67 and 86,293.04

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Solution

The fourth proportional to 285,970.91, 428,959.67 and 86,293.04 is: 129,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970.91 : 428,959.67 = 86,293.04 : x
  2. Step 2: Convert to fraction form
    285,970.91/428,959.67 = 86,293.04/x
  3. Step 3: Cross multiply
    285,970.91x = 428,959.67 × 86,293.04
  4. Step 4: Simplify right side
    285,970.91x = 37,016,231,385.43
  5. Step 5: Solve for x
    x = 37,016,231,385.43/285,970.91
  6. Step 6: Final answer
    x = 129,440.55

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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.