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Finding the Fourth Proportional to 288,615.36, 398,306.88 and 161,301.12

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Solution

The fourth proportional to 288,615.36, 398,306.88 and 161,301.12 is: 222,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,615.36 : 398,306.88 = 161,301.12 : x
  2. Step 2: Convert to fraction form
    288,615.36/398,306.88 = 161,301.12/x
  3. Step 3: Cross multiply
    288,615.36x = 398,306.88 × 161,301.12
  4. Step 4: Simplify right side
    288,615.36x = 64,247,345,847.71
  5. Step 5: Solve for x
    x = 64,247,345,847.71/288,615.36
  6. Step 6: Final answer
    x = 222,605.43

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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.