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Finding the Fourth Proportional to 410,147.60, 615,106.20 and 129,750.80

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Solution

The fourth proportional to 410,147.60, 615,106.20 and 129,750.80 is: 194,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.60 : 615,106.20 = 129,750.80 : x
  2. Step 2: Convert to fraction form
    410,147.60/615,106.20 = 129,750.80/x
  3. Step 3: Cross multiply
    410,147.60x = 615,106.20 × 129,750.80
  4. Step 4: Simplify right side
    410,147.60x = 79,810,521,534.96
  5. Step 5: Solve for x
    x = 79,810,521,534.96/410,147.60
  6. Step 6: Final answer
    x = 194,589.76

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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.