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Finding the Fourth Proportional to 410,978.02, 616,525.02 and 126,691.66

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Solution

The fourth proportional to 410,978.02, 616,525.02 and 126,691.66 is: 190,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,978.02 : 616,525.02 = 126,691.66 : x
  2. Step 2: Convert to fraction form
    410,978.02/616,525.02 = 126,691.66/x
  3. Step 3: Cross multiply
    410,978.02x = 616,525.02 × 126,691.66
  4. Step 4: Simplify right side
    410,978.02x = 78,108,578,215.33
  5. Step 5: Solve for x
    x = 78,108,578,215.33/410,978.02
  6. Step 6: Final answer
    x = 190,055.37

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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.