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Finding the Fourth Proportional to 305,343.48, 457,793.78 and 205,255.42

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Solution

The fourth proportional to 305,343.48, 457,793.78 and 205,255.42 is: 307,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,343.48 : 457,793.78 = 205,255.42 : x
  2. Step 2: Convert to fraction form
    305,343.48/457,793.78 = 205,255.42/x
  3. Step 3: Cross multiply
    305,343.48x = 457,793.78 × 205,255.42
  4. Step 4: Simplify right side
    305,343.48x = 93,964,654,074.15
  5. Step 5: Solve for x
    x = 93,964,654,074.15/305,343.48
  6. Step 6: Final answer
    x = 307,734.28

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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.