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Finding the Fourth Proportional to 288,292.65, 397,868.45 and 160,992.84

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Solution

The fourth proportional to 288,292.65, 397,868.45 and 160,992.84 is: 222,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,292.65 : 397,868.45 = 160,992.84 : x
  2. Step 2: Convert to fraction form
    288,292.65/397,868.45 = 160,992.84/x
  3. Step 3: Cross multiply
    288,292.65x = 397,868.45 × 160,992.84
  4. Step 4: Simplify right side
    288,292.65x = 64,053,971,711.90
  5. Step 5: Solve for x
    x = 64,053,971,711.90/288,292.65
  6. Step 6: Final answer
    x = 222,183.85

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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.