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Finding the Fourth Proportional to 253,691.40, 380,262.42 and 165,008.28

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Solution

The fourth proportional to 253,691.40, 380,262.42 and 165,008.28 is: 247,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,691.40 : 380,262.42 = 165,008.28 : x
  2. Step 2: Convert to fraction form
    253,691.40/380,262.42 = 165,008.28/x
  3. Step 3: Cross multiply
    253,691.40x = 380,262.42 × 165,008.28
  4. Step 4: Simplify right side
    253,691.40x = 62,746,447,872.84
  5. Step 5: Solve for x
    x = 62,746,447,872.84/253,691.40
  6. Step 6: Final answer
    x = 247,333.76

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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.