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Finding the Fourth Proportional to 349,675.20, 482,486.40 and 206,380.80

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Solution

The fourth proportional to 349,675.20, 482,486.40 and 206,380.80 is: 284,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,675.20 : 482,486.40 = 206,380.80 : x
  2. Step 2: Convert to fraction form
    349,675.20/482,486.40 = 206,380.80/x
  3. Step 3: Cross multiply
    349,675.20x = 482,486.40 × 206,380.80
  4. Step 4: Simplify right side
    349,675.20x = 99,575,929,221.12
  5. Step 5: Solve for x
    x = 99,575,929,221.12/349,675.20
  6. Step 6: Final answer
    x = 284,766.92

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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.