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Finding the Fourth Proportional to 410,135.60, 615,088.20 and 129,738.80

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Solution

The fourth proportional to 410,135.60, 615,088.20 and 129,738.80 is: 194,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135.60 : 615,088.20 = 129,738.80 : x
  2. Step 2: Convert to fraction form
    410,135.60/615,088.20 = 129,738.80/x
  3. Step 3: Cross multiply
    410,135.60x = 615,088.20 × 129,738.80
  4. Step 4: Simplify right side
    410,135.60x = 79,800,804,962.16
  5. Step 5: Solve for x
    x = 79,800,804,962.16/410,135.60
  6. Step 6: Final answer
    x = 194,571.76

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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.