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Finding the Fourth Proportional to 458,481.92, 687,644.16 and 121,525.76

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Solution

The fourth proportional to 458,481.92, 687,644.16 and 121,525.76 is: 182,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,481.92 : 687,644.16 = 121,525.76 : x
  2. Step 2: Convert to fraction form
    458,481.92/687,644.16 = 121,525.76/x
  3. Step 3: Cross multiply
    458,481.92x = 687,644.16 × 121,525.76
  4. Step 4: Simplify right side
    458,481.92x = 83,566,479,153.56
  5. Step 5: Solve for x
    x = 83,566,479,153.56/458,481.92
  6. Step 6: Final answer
    x = 182,267.77

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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.