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Finding the Fourth Proportional to 305,769.60, 458,265.60 and 272,332.80

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Solution

The fourth proportional to 305,769.60, 458,265.60 and 272,332.80 is: 408,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,769.60 : 458,265.60 = 272,332.80 : x
  2. Step 2: Convert to fraction form
    305,769.60/458,265.60 = 272,332.80/x
  3. Step 3: Cross multiply
    305,769.60x = 458,265.60 × 272,332.80
  4. Step 4: Simplify right side
    305,769.60x = 124,800,753,991.68
  5. Step 5: Solve for x
    x = 124,800,753,991.68/305,769.60
  6. Step 6: Final answer
    x = 408,152.92

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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.