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Finding the Fourth Proportional to 410,714.40, 616,179.60 and 130,231.20

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Solution

The fourth proportional to 410,714.40, 616,179.60 and 130,231.20 is: 195,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,714.40 : 616,179.60 = 130,231.20 : x
  2. Step 2: Convert to fraction form
    410,714.40/616,179.60 = 130,231.20/x
  3. Step 3: Cross multiply
    410,714.40x = 616,179.60 × 130,231.20
  4. Step 4: Simplify right side
    410,714.40x = 80,245,808,723.52
  5. Step 5: Solve for x
    x = 80,245,808,723.52/410,714.40
  6. Step 6: Final answer
    x = 195,381.05

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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.