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Finding the Fourth Proportional to 493,414.72, 680,928.80 and 302,391.20

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Solution

The fourth proportional to 493,414.72, 680,928.80 and 302,391.20 is: 417,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,414.72 : 680,928.80 = 302,391.20 : x
  2. Step 2: Convert to fraction form
    493,414.72/680,928.80 = 302,391.20/x
  3. Step 3: Cross multiply
    493,414.72x = 680,928.80 × 302,391.20
  4. Step 4: Simplify right side
    493,414.72x = 205,906,876,946.56
  5. Step 5: Solve for x
    x = 205,906,876,946.56/493,414.72
  6. Step 6: Final answer
    x = 417,309.96

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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.