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Finding the Fourth Proportional to 288,306.16, 397,882.08 and 160,978.96

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Solution

The fourth proportional to 288,306.16, 397,882.08 and 160,978.96 is: 222,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,306.16 : 397,882.08 = 160,978.96 : x
  2. Step 2: Convert to fraction form
    288,306.16/397,882.08 = 160,978.96/x
  3. Step 3: Cross multiply
    288,306.16x = 397,882.08 × 160,978.96
  4. Step 4: Simplify right side
    288,306.16x = 64,050,643,441.04
  5. Step 5: Solve for x
    x = 64,050,643,441.04/288,306.16
  6. Step 6: Final answer
    x = 222,161.90

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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.