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Finding the Fourth Proportional to 410,130.60, 615,080.70 and 129,733.80

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Solution

The fourth proportional to 410,130.60, 615,080.70 and 129,733.80 is: 194,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,130.60 : 615,080.70 = 129,733.80 : x
  2. Step 2: Convert to fraction form
    410,130.60/615,080.70 = 129,733.80/x
  3. Step 3: Cross multiply
    410,130.60x = 615,080.70 × 129,733.80
  4. Step 4: Simplify right side
    410,130.60x = 79,796,756,517.66
  5. Step 5: Solve for x
    x = 79,796,756,517.66/410,130.60
  6. Step 6: Final answer
    x = 194,564.26

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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.