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Finding the Fourth Proportional to 281,614.36, 422,421.53 and 187,029.29

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Solution

The fourth proportional to 281,614.36, 422,421.53 and 187,029.29 is: 280,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,614.36 : 422,421.53 = 187,029.29 : x
  2. Step 2: Convert to fraction form
    281,614.36/422,421.53 = 187,029.29/x
  3. Step 3: Cross multiply
    281,614.36x = 422,421.53 × 187,029.29
  4. Step 4: Simplify right side
    281,614.36x = 79,005,198,836.61
  5. Step 5: Solve for x
    x = 79,005,198,836.61/281,614.36
  6. Step 6: Final answer
    x = 280,543.93

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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.