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Finding the Fourth Proportional to 491,243.15, 736,864.66 and 136,257.17

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Solution

The fourth proportional to 491,243.15, 736,864.66 and 136,257.17 is: 204,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,243.15 : 736,864.66 = 136,257.17 : x
  2. Step 2: Convert to fraction form
    491,243.15/736,864.66 = 136,257.17/x
  3. Step 3: Cross multiply
    491,243.15x = 736,864.66 × 136,257.17
  4. Step 4: Simplify right side
    491,243.15x = 100,403,092,563.33
  5. Step 5: Solve for x
    x = 100,403,092,563.33/491,243.15
  6. Step 6: Final answer
    x = 204,385.74

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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.