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Finding the Fourth Proportional to 412,514.69, 618,772.57 and 112,997.90

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Solution

The fourth proportional to 412,514.69, 618,772.57 and 112,997.90 is: 169,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,514.69 : 618,772.57 = 112,997.90 : x
  2. Step 2: Convert to fraction form
    412,514.69/618,772.57 = 112,997.90/x
  3. Step 3: Cross multiply
    412,514.69x = 618,772.57 × 112,997.90
  4. Step 4: Simplify right side
    412,514.69x = 69,920,002,252.04
  5. Step 5: Solve for x
    x = 69,920,002,252.04/412,514.69
  6. Step 6: Final answer
    x = 169,497.00

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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.