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Finding the Fourth Proportional to 454,321.72, 680,609.13 and 254,034.64

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Solution

The fourth proportional to 454,321.72, 680,609.13 and 254,034.64 is: 380,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,321.72 : 680,609.13 = 254,034.64 : x
  2. Step 2: Convert to fraction form
    454,321.72/680,609.13 = 254,034.64/x
  3. Step 3: Cross multiply
    454,321.72x = 680,609.13 × 254,034.64
  4. Step 4: Simplify right side
    454,321.72x = 172,898,295,320.26
  5. Step 5: Solve for x
    x = 172,898,295,320.26/454,321.72
  6. Step 6: Final answer
    x = 380,563.57

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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.