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Finding the Fourth Proportional to 409,793.10, 615,078.45 and 252,329.10

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Solution

The fourth proportional to 409,793.10, 615,078.45 and 252,329.10 is: 378,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,793.10 : 615,078.45 = 252,329.10 : x
  2. Step 2: Convert to fraction form
    409,793.10/615,078.45 = 252,329.10/x
  3. Step 3: Cross multiply
    409,793.10x = 615,078.45 × 252,329.10
  4. Step 4: Simplify right side
    409,793.10x = 155,202,191,717.90
  5. Step 5: Solve for x
    x = 155,202,191,717.90/409,793.10
  6. Step 6: Final answer
    x = 378,733.05

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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.