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Finding the Fourth Proportional to 458,280.20, 687,593.10 and 221,832.20

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Solution

The fourth proportional to 458,280.20, 687,593.10 and 221,832.20 is: 332,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,280.20 : 687,593.10 = 221,832.20 : x
  2. Step 2: Convert to fraction form
    458,280.20/687,593.10 = 221,832.20/x
  3. Step 3: Cross multiply
    458,280.20x = 687,593.10 × 221,832.20
  4. Step 4: Simplify right side
    458,280.20x = 152,530,290,077.82
  5. Step 5: Solve for x
    x = 152,530,290,077.82/458,280.20
  6. Step 6: Final answer
    x = 332,831.94

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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.