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Finding the Fourth Proportional to 288,615.40, 398,288.10 and 161,290.96

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Solution

The fourth proportional to 288,615.40, 398,288.10 and 161,290.96 is: 222,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,615.40 : 398,288.10 = 161,290.96 : x
  2. Step 2: Convert to fraction form
    288,615.40/398,288.10 = 161,290.96/x
  3. Step 3: Cross multiply
    288,615.40x = 398,288.10 × 161,290.96
  4. Step 4: Simplify right side
    288,615.40x = 64,240,270,005.58
  5. Step 5: Solve for x
    x = 64,240,270,005.58/288,615.40
  6. Step 6: Final answer
    x = 222,580.88

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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.