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Finding the Fourth Proportional to 288,717.20, 398,438.56 and 161,398.16

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Solution

The fourth proportional to 288,717.20, 398,438.56 and 161,398.16 is: 222,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,717.20 : 398,438.56 = 161,398.16 : x
  2. Step 2: Convert to fraction form
    288,717.20/398,438.56 = 161,398.16/x
  3. Step 3: Cross multiply
    288,717.20x = 398,438.56 × 161,398.16
  4. Step 4: Simplify right side
    288,717.20x = 64,307,250,457.05
  5. Step 5: Solve for x
    x = 64,307,250,457.05/288,717.20
  6. Step 6: Final answer
    x = 222,734.39

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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.