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Finding the Fourth Proportional to 410,728.70, 616,151.37 and 126,442.91

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Solution

The fourth proportional to 410,728.70, 616,151.37 and 126,442.91 is: 189,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,728.70 : 616,151.37 = 126,442.91 : x
  2. Step 2: Convert to fraction form
    410,728.70/616,151.37 = 126,442.91/x
  3. Step 3: Cross multiply
    410,728.70x = 616,151.37 × 126,442.91
  4. Step 4: Simplify right side
    410,728.70x = 77,907,972,223.29
  5. Step 5: Solve for x
    x = 77,907,972,223.29/410,728.70
  6. Step 6: Final answer
    x = 189,682.32

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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.