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Finding the Fourth Proportional to 412,070.69, 618,122.49 and 127,790.76

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Solution

The fourth proportional to 412,070.69, 618,122.49 and 127,790.76 is: 191,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,070.69 : 618,122.49 = 127,790.76 : x
  2. Step 2: Convert to fraction form
    412,070.69/618,122.49 = 127,790.76/x
  3. Step 3: Cross multiply
    412,070.69x = 618,122.49 × 127,790.76
  4. Step 4: Simplify right side
    412,070.69x = 78,990,342,131.24
  5. Step 5: Solve for x
    x = 78,990,342,131.24/412,070.69
  6. Step 6: Final answer
    x = 191,691.24

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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.