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Finding the Fourth Proportional to 253,979.19, 380,221.14 and 187,714.71

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Solution

The fourth proportional to 253,979.19, 380,221.14 and 187,714.71 is: 281,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,979.19 : 380,221.14 = 187,714.71 : x
  2. Step 2: Convert to fraction form
    253,979.19/380,221.14 = 187,714.71/x
  3. Step 3: Cross multiply
    253,979.19x = 380,221.14 × 187,714.71
  4. Step 4: Simplify right side
    253,979.19x = 71,373,101,030.97
  5. Step 5: Solve for x
    x = 71,373,101,030.97/253,979.19
  6. Step 6: Final answer
    x = 281,019.48

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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.