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Finding the Fourth Proportional to 285,972.76, 428,948.36 and 86,287.82

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Solution

The fourth proportional to 285,972.76, 428,948.36 and 86,287.82 is: 129,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972.76 : 428,948.36 = 86,287.82 : x
  2. Step 2: Convert to fraction form
    285,972.76/428,948.36 = 86,287.82/x
  3. Step 3: Cross multiply
    285,972.76x = 428,948.36 × 86,287.82
  4. Step 4: Simplify right side
    285,972.76x = 37,013,018,445.54
  5. Step 5: Solve for x
    x = 37,013,018,445.54/285,972.76
  6. Step 6: Final answer
    x = 129,428.48

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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.