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Finding the Fourth Proportional to 288,578, 398,236.40 and 161,253.60

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Solution

The fourth proportional to 288,578, 398,236.40 and 161,253.60 is: 222,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,578 : 398,236.40 = 161,253.60 : x
  2. Step 2: Convert to fraction form
    288,578/398,236.40 = 161,253.60/x
  3. Step 3: Cross multiply
    288,578x = 398,236.40 × 161,253.60
  4. Step 4: Simplify right side
    288,578x = 64,217,053,151.04
  5. Step 5: Solve for x
    x = 64,217,053,151.04/288,578
  6. Step 6: Final answer
    x = 222,529.28

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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.