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Finding the Fourth Proportional to 288,684.52, 398,382.18 and 166,200.88

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Solution

The fourth proportional to 288,684.52, 398,382.18 and 166,200.88 is: 229,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684.52 : 398,382.18 = 166,200.88 : x
  2. Step 2: Convert to fraction form
    288,684.52/398,382.18 = 166,200.88/x
  3. Step 3: Cross multiply
    288,684.52x = 398,382.18 × 166,200.88
  4. Step 4: Simplify right side
    288,684.52x = 66,211,468,892.32
  5. Step 5: Solve for x
    x = 66,211,468,892.32/288,684.52
  6. Step 6: Final answer
    x = 229,355.80

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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.