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Finding the Fourth Proportional to 225,220, 310,728.12 and 129,724.48

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Solution

The fourth proportional to 225,220, 310,728.12 and 129,724.48 is: 178,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,220 : 310,728.12 = 129,724.48 : x
  2. Step 2: Convert to fraction form
    225,220/310,728.12 = 129,724.48/x
  3. Step 3: Cross multiply
    225,220x = 310,728.12 × 129,724.48
  4. Step 4: Simplify right side
    225,220x = 40,309,043,788.38
  5. Step 5: Solve for x
    x = 40,309,043,788.38/225,220
  6. Step 6: Final answer
    x = 178,976.31

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1.5x scale

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.