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Finding the Fourth Proportional to 394,927.72, 592,425.28 and 138,737.92

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Solution

The fourth proportional to 394,927.72, 592,425.28 and 138,737.92 is: 208,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,927.72 : 592,425.28 = 138,737.92 : x
  2. Step 2: Convert to fraction form
    394,927.72/592,425.28 = 138,737.92/x
  3. Step 3: Cross multiply
    394,927.72x = 592,425.28 × 138,737.92
  4. Step 4: Simplify right side
    394,927.72x = 82,191,851,102.62
  5. Step 5: Solve for x
    x = 82,191,851,102.62/394,927.72
  6. Step 6: Final answer
    x = 208,118.72

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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.