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Finding the Fourth Proportional to 288,666, 398,352.18 and 161,353.44

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Solution

The fourth proportional to 288,666, 398,352.18 and 161,353.44 is: 222,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,666 : 398,352.18 = 161,353.44 : x
  2. Step 2: Convert to fraction form
    288,666/398,352.18 = 161,353.44/x
  3. Step 3: Cross multiply
    288,666x = 398,352.18 × 161,353.44
  4. Step 4: Simplify right side
    288,666x = 64,275,494,574.50
  5. Step 5: Solve for x
    x = 64,275,494,574.50/288,666
  6. Step 6: Final answer
    x = 222,663.89

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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.