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Finding the Fourth Proportional to 412,514.70, 618,772.54 and 112,997.86

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Solution

The fourth proportional to 412,514.70, 618,772.54 and 112,997.86 is: 169,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,514.70 : 618,772.54 = 112,997.86 : x
  2. Step 2: Convert to fraction form
    412,514.70/618,772.54 = 112,997.86/x
  3. Step 3: Cross multiply
    412,514.70x = 618,772.54 × 112,997.86
  4. Step 4: Simplify right side
    412,514.70x = 69,919,974,501.33
  5. Step 5: Solve for x
    x = 69,919,974,501.33/412,514.70
  6. Step 6: Final answer
    x = 169,496.93

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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.