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Finding the Fourth Proportional to 491,398.72, 737,102.18 and 136,440.42

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Solution

The fourth proportional to 491,398.72, 737,102.18 and 136,440.42 is: 204,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,398.72 : 737,102.18 = 136,440.42 : x
  2. Step 2: Convert to fraction form
    491,398.72/737,102.18 = 136,440.42/x
  3. Step 3: Cross multiply
    491,398.72x = 737,102.18 × 136,440.42
  4. Step 4: Simplify right side
    491,398.72x = 100,570,526,654.40
  5. Step 5: Solve for x
    x = 100,570,526,654.40/491,398.72
  6. Step 6: Final answer
    x = 204,661.76

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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.