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Finding the Fourth Proportional to 288,191.88, 432,287.28 and 160,189.56

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Solution

The fourth proportional to 288,191.88, 432,287.28 and 160,189.56 is: 240,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,191.88 : 432,287.28 = 160,189.56 : x
  2. Step 2: Convert to fraction form
    288,191.88/432,287.28 = 160,189.56/x
  3. Step 3: Cross multiply
    288,191.88x = 432,287.28 × 160,189.56
  4. Step 4: Simplify right side
    288,191.88x = 69,247,909,176.80
  5. Step 5: Solve for x
    x = 69,247,909,176.80/288,191.88
  6. Step 6: Final answer
    x = 240,284.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.