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Finding the Fourth Proportional to 410,200.80, 615,243.60 and 129,746.40

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Solution

The fourth proportional to 410,200.80, 615,243.60 and 129,746.40 is: 194,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,200.80 : 615,243.60 = 129,746.40 : x
  2. Step 2: Convert to fraction form
    410,200.80/615,243.60 = 129,746.40/x
  3. Step 3: Cross multiply
    410,200.80x = 615,243.60 × 129,746.40
  4. Step 4: Simplify right side
    410,200.80x = 79,825,642,223.04
  5. Step 5: Solve for x
    x = 79,825,642,223.04/410,200.80
  6. Step 6: Final answer
    x = 194,601.38

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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.