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Finding the Fourth Proportional to 410,519.70, 615,837.15 and 130,007.70

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Solution

The fourth proportional to 410,519.70, 615,837.15 and 130,007.70 is: 195,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,519.70 : 615,837.15 = 130,007.70 : x
  2. Step 2: Convert to fraction form
    410,519.70/615,837.15 = 130,007.70/x
  3. Step 3: Cross multiply
    410,519.70x = 615,837.15 × 130,007.70
  4. Step 4: Simplify right side
    410,519.70x = 80,063,571,446.06
  5. Step 5: Solve for x
    x = 80,063,571,446.06/410,519.70
  6. Step 6: Final answer
    x = 195,029.79

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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.