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Finding the Fourth Proportional to 410,638.64, 615,958.06 and 154,519.44

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Solution

The fourth proportional to 410,638.64, 615,958.06 and 154,519.44 is: 231,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,638.64 : 615,958.06 = 154,519.44 : x
  2. Step 2: Convert to fraction form
    410,638.64/615,958.06 = 154,519.44/x
  3. Step 3: Cross multiply
    410,638.64x = 615,958.06 × 154,519.44
  4. Step 4: Simplify right side
    410,638.64x = 95,177,494,494.69
  5. Step 5: Solve for x
    x = 95,177,494,494.69/410,638.64
  6. Step 6: Final answer
    x = 231,779.20

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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.