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Finding the Fourth Proportional to 285,974.72, 428,965.28 and 86,297

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Solution

The fourth proportional to 285,974.72, 428,965.28 and 86,297 is: 129,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.72 : 428,965.28 = 86,297 : x
  2. Step 2: Convert to fraction form
    285,974.72/428,965.28 = 86,297/x
  3. Step 3: Cross multiply
    285,974.72x = 428,965.28 × 86,297
  4. Step 4: Simplify right side
    285,974.72x = 37,018,416,768.16
  5. Step 5: Solve for x
    x = 37,018,416,768.16/285,974.72
  6. Step 6: Final answer
    x = 129,446.47

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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.