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Finding the Fourth Proportional to 288,532.78, 398,167.10 and 161,208.38

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Solution

The fourth proportional to 288,532.78, 398,167.10 and 161,208.38 is: 222,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,532.78 : 398,167.10 = 161,208.38 : x
  2. Step 2: Convert to fraction form
    288,532.78/398,167.10 = 161,208.38/x
  3. Step 3: Cross multiply
    288,532.78x = 398,167.10 × 161,208.38
  4. Step 4: Simplify right side
    288,532.78x = 64,187,873,160.30
  5. Step 5: Solve for x
    x = 64,187,873,160.30/288,532.78
  6. Step 6: Final answer
    x = 222,463.02

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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.