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Finding the Fourth Proportional to 410,601.82, 615,924.60 and 130,140.94

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Solution

The fourth proportional to 410,601.82, 615,924.60 and 130,140.94 is: 195,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,601.82 : 615,924.60 = 130,140.94 : x
  2. Step 2: Convert to fraction form
    410,601.82/615,924.60 = 130,140.94/x
  3. Step 3: Cross multiply
    410,601.82x = 615,924.60 × 130,140.94
  4. Step 4: Simplify right side
    410,601.82x = 80,157,002,682.80
  5. Step 5: Solve for x
    x = 80,157,002,682.80/410,601.82
  6. Step 6: Final answer
    x = 195,218.34

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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.