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Finding the Fourth Proportional to 660,649, 991,023.06 and 187,372.48

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Solution

The fourth proportional to 660,649, 991,023.06 and 187,372.48 is: 281,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,649 : 991,023.06 = 187,372.48 : x
  2. Step 2: Convert to fraction form
    660,649/991,023.06 = 187,372.48/x
  3. Step 3: Cross multiply
    660,649x = 991,023.06 × 187,372.48
  4. Step 4: Simplify right side
    660,649x = 185,690,448,489.39
  5. Step 5: Solve for x
    x = 185,690,448,489.39/660,649
  6. Step 6: Final answer
    x = 281,072.78

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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.