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Finding the Fourth Proportional to 288,683.52, 398,380.80 and 166,199.88

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Solution

The fourth proportional to 288,683.52, 398,380.80 and 166,199.88 is: 229,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,683.52 : 398,380.80 = 166,199.88 : x
  2. Step 2: Convert to fraction form
    288,683.52/398,380.80 = 166,199.88/x
  3. Step 3: Cross multiply
    288,683.52x = 398,380.80 × 166,199.88
  4. Step 4: Simplify right side
    288,683.52x = 66,210,841,154.30
  5. Step 5: Solve for x
    x = 66,210,841,154.30/288,683.52
  6. Step 6: Final answer
    x = 229,354.42

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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.