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Finding the Fourth Proportional to 275,873.76, 413,516.16 and 157,289.76

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Solution

The fourth proportional to 275,873.76, 413,516.16 and 157,289.76 is: 235,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,873.76 : 413,516.16 = 157,289.76 : x
  2. Step 2: Convert to fraction form
    275,873.76/413,516.16 = 157,289.76/x
  3. Step 3: Cross multiply
    275,873.76x = 413,516.16 × 157,289.76
  4. Step 4: Simplify right side
    275,873.76x = 65,041,857,562.52
  5. Step 5: Solve for x
    x = 65,041,857,562.52/275,873.76
  6. Step 6: Final answer
    x = 235,766.74

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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.