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Finding the Fourth Proportional to 491,104.52, 735,770.28 and 206,285.28

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Solution

The fourth proportional to 491,104.52, 735,770.28 and 206,285.28 is: 309,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,104.52 : 735,770.28 = 206,285.28 : x
  2. Step 2: Convert to fraction form
    491,104.52/735,770.28 = 206,285.28/x
  3. Step 3: Cross multiply
    491,104.52x = 735,770.28 × 206,285.28
  4. Step 4: Simplify right side
    491,104.52x = 151,778,580,378.62
  5. Step 5: Solve for x
    x = 151,778,580,378.62/491,104.52
  6. Step 6: Final answer
    x = 309,055.56

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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.