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Finding the Fourth Proportional to 491,387.10, 736,998.63 and 136,437

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Solution

The fourth proportional to 491,387.10, 736,998.63 and 136,437 is: 204,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,387.10 : 736,998.63 = 136,437 : x
  2. Step 2: Convert to fraction form
    491,387.10/736,998.63 = 136,437/x
  3. Step 3: Cross multiply
    491,387.10x = 736,998.63 × 136,437
  4. Step 4: Simplify right side
    491,387.10x = 100,553,882,081.31
  5. Step 5: Solve for x
    x = 100,553,882,081.31/491,387.10
  6. Step 6: Final answer
    x = 204,632.73

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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.