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Finding the Fourth Proportional to 374,171.64, 561,257.46 and 137,411.88

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Solution

The fourth proportional to 374,171.64, 561,257.46 and 137,411.88 is: 206,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,171.64 : 561,257.46 = 137,411.88 : x
  2. Step 2: Convert to fraction form
    374,171.64/561,257.46 = 137,411.88/x
  3. Step 3: Cross multiply
    374,171.64x = 561,257.46 × 137,411.88
  4. Step 4: Simplify right side
    374,171.64x = 77,123,442,742.62
  5. Step 5: Solve for x
    x = 77,123,442,742.62/374,171.64
  6. Step 6: Final answer
    x = 206,117.82

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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.