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Finding the Fourth Proportional to 382,820.52, 574,230.99 and 172,212.42

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Solution

The fourth proportional to 382,820.52, 574,230.99 and 172,212.42 is: 258,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,820.52 : 574,230.99 = 172,212.42 : x
  2. Step 2: Convert to fraction form
    382,820.52/574,230.99 = 172,212.42/x
  3. Step 3: Cross multiply
    382,820.52x = 574,230.99 × 172,212.42
  4. Step 4: Simplify right side
    382,820.52x = 98,889,708,426.90
  5. Step 5: Solve for x
    x = 98,889,708,426.90/382,820.52
  6. Step 6: Final answer
    x = 258,318.72

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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.