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Finding the Fourth Proportional to 285,972.72, 428,962.28 and 86,295

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Solution

The fourth proportional to 285,972.72, 428,962.28 and 86,295 is: 129,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972.72 : 428,962.28 = 86,295 : x
  2. Step 2: Convert to fraction form
    285,972.72/428,962.28 = 86,295/x
  3. Step 3: Cross multiply
    285,972.72x = 428,962.28 × 86,295
  4. Step 4: Simplify right side
    285,972.72x = 37,017,299,952.60
  5. Step 5: Solve for x
    x = 37,017,299,952.60/285,972.72
  6. Step 6: Final answer
    x = 129,443.47

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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.