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Finding the Fourth Proportional to 491,243.40, 736,865.03 and 136,257.42

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Solution

The fourth proportional to 491,243.40, 736,865.03 and 136,257.42 is: 204,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,243.40 : 736,865.03 = 136,257.42 : x
  2. Step 2: Convert to fraction form
    491,243.40/736,865.03 = 136,257.42/x
  3. Step 3: Cross multiply
    491,243.40x = 736,865.03 × 136,257.42
  4. Step 4: Simplify right side
    491,243.40x = 100,403,327,876.02
  5. Step 5: Solve for x
    x = 100,403,327,876.02/491,243.40
  6. Step 6: Final answer
    x = 204,386.11

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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.