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Finding the Fourth Proportional to 288,469.20, 398,090.80 and 159,407.18

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Solution

The fourth proportional to 288,469.20, 398,090.80 and 159,407.18 is: 219,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,469.20 : 398,090.80 = 159,407.18 : x
  2. Step 2: Convert to fraction form
    288,469.20/398,090.80 = 159,407.18/x
  3. Step 3: Cross multiply
    288,469.20x = 398,090.80 × 159,407.18
  4. Step 4: Simplify right side
    288,469.20x = 63,458,531,811.94
  5. Step 5: Solve for x
    x = 63,458,531,811.94/288,469.20
  6. Step 6: Final answer
    x = 219,983.73

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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.