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Finding the Fourth Proportional to 253,982.22, 380,225.61 and 187,717.74

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Solution

The fourth proportional to 253,982.22, 380,225.61 and 187,717.74 is: 281,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,982.22 : 380,225.61 = 187,717.74 : x
  2. Step 2: Convert to fraction form
    253,982.22/380,225.61 = 187,717.74/x
  3. Step 3: Cross multiply
    253,982.22x = 380,225.61 × 187,717.74
  4. Step 4: Simplify right side
    253,982.22x = 71,375,092,199.32
  5. Step 5: Solve for x
    x = 71,375,092,199.32/253,982.22
  6. Step 6: Final answer
    x = 281,023.97

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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.