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Finding the Fourth Proportional to 288,308.52, 397,865.62 and 160,984.04

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Solution

The fourth proportional to 288,308.52, 397,865.62 and 160,984.04 is: 222,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,308.52 : 397,865.62 = 160,984.04 : x
  2. Step 2: Convert to fraction form
    288,308.52/397,865.62 = 160,984.04/x
  3. Step 3: Cross multiply
    288,308.52x = 397,865.62 × 160,984.04
  4. Step 4: Simplify right side
    288,308.52x = 64,050,014,884.70
  5. Step 5: Solve for x
    x = 64,050,014,884.70/288,308.52
  6. Step 6: Final answer
    x = 222,157.90

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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.