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Finding the Fourth Proportional to 410,599.82, 615,921.60 and 130,138.94

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Solution

The fourth proportional to 410,599.82, 615,921.60 and 130,138.94 is: 195,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,599.82 : 615,921.60 = 130,138.94 : x
  2. Step 2: Convert to fraction form
    410,599.82/615,921.60 = 130,138.94/x
  3. Step 3: Cross multiply
    410,599.82x = 615,921.60 × 130,138.94
  4. Step 4: Simplify right side
    410,599.82x = 80,155,381,067.50
  5. Step 5: Solve for x
    x = 80,155,381,067.50/410,599.82
  6. Step 6: Final answer
    x = 195,215.34

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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.