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Finding the Fourth Proportional to 285,387.95, 428,047.88 and 75,042.29

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Solution

The fourth proportional to 285,387.95, 428,047.88 and 75,042.29 is: 112,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,387.95 : 428,047.88 = 75,042.29 : x
  2. Step 2: Convert to fraction form
    285,387.95/428,047.88 = 75,042.29/x
  3. Step 3: Cross multiply
    285,387.95x = 428,047.88 × 75,042.29
  4. Step 4: Simplify right side
    285,387.95x = 32,121,690,629.39
  5. Step 5: Solve for x
    x = 32,121,690,629.39/285,387.95
  6. Step 6: Final answer
    x = 112,554.48

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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.