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Finding the Fourth Proportional to 410,729.70, 616,152.87 and 126,443.91

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Solution

The fourth proportional to 410,729.70, 616,152.87 and 126,443.91 is: 189,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,729.70 : 616,152.87 = 126,443.91 : x
  2. Step 2: Convert to fraction form
    410,729.70/616,152.87 = 126,443.91/x
  3. Step 3: Cross multiply
    410,729.70x = 616,152.87 × 126,443.91
  4. Step 4: Simplify right side
    410,729.70x = 77,908,778,040.52
  5. Step 5: Solve for x
    x = 77,908,778,040.52/410,729.70
  6. Step 6: Final answer
    x = 189,683.82

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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.