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Finding the Fourth Proportional to 409,239.11, 564,720.95 and 225,469.65

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Solution

The fourth proportional to 409,239.11, 564,720.95 and 225,469.65 is: 311,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,239.11 : 564,720.95 = 225,469.65 : x
  2. Step 2: Convert to fraction form
    409,239.11/564,720.95 = 225,469.65/x
  3. Step 3: Cross multiply
    409,239.11x = 564,720.95 × 225,469.65
  4. Step 4: Simplify right side
    409,239.11x = 127,327,436,357.28
  5. Step 5: Solve for x
    x = 127,327,436,357.28/409,239.11
  6. Step 6: Final answer
    x = 311,132.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.