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Finding the Fourth Proportional to 409,253.10, 615,191.85 and 291,738.30

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Solution

The fourth proportional to 409,253.10, 615,191.85 and 291,738.30 is: 438,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,253.10 : 615,191.85 = 291,738.30 : x
  2. Step 2: Convert to fraction form
    409,253.10/615,191.85 = 291,738.30/x
  3. Step 3: Cross multiply
    409,253.10x = 615,191.85 × 291,738.30
  4. Step 4: Simplify right side
    409,253.10x = 179,475,024,492.86
  5. Step 5: Solve for x
    x = 179,475,024,492.86/409,253.10
  6. Step 6: Final answer
    x = 438,542.86

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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.