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Finding the Fourth Proportional to 410,728.20, 616,150.62 and 126,442.41

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Solution

The fourth proportional to 410,728.20, 616,150.62 and 126,442.41 is: 189,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,728.20 : 616,150.62 = 126,442.41 : x
  2. Step 2: Convert to fraction form
    410,728.20/616,150.62 = 126,442.41/x
  3. Step 3: Cross multiply
    410,728.20x = 616,150.62 × 126,442.41
  4. Step 4: Simplify right side
    410,728.20x = 77,907,569,315.79
  5. Step 5: Solve for x
    x = 77,907,569,315.79/410,728.20
  6. Step 6: Final answer
    x = 189,681.57

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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.