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Finding the Fourth Proportional to 427,872.55, 641,943.12 and 257,290.65

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Solution

The fourth proportional to 427,872.55, 641,943.12 and 257,290.65 is: 386,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,872.55 : 641,943.12 = 257,290.65 : x
  2. Step 2: Convert to fraction form
    427,872.55/641,943.12 = 257,290.65/x
  3. Step 3: Cross multiply
    427,872.55x = 641,943.12 × 257,290.65
  4. Step 4: Simplify right side
    427,872.55x = 165,165,962,607.83
  5. Step 5: Solve for x
    x = 165,165,962,607.83/427,872.55
  6. Step 6: Final answer
    x = 386,016.73

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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.