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Finding the Fourth Proportional to 288,149.40, 397,651.28 and 159,103.04

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Solution

The fourth proportional to 288,149.40, 397,651.28 and 159,103.04 is: 219,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,149.40 : 397,651.28 = 159,103.04 : x
  2. Step 2: Convert to fraction form
    288,149.40/397,651.28 = 159,103.04/x
  3. Step 3: Cross multiply
    288,149.40x = 397,651.28 × 159,103.04
  4. Step 4: Simplify right side
    288,149.40x = 63,267,524,724.12
  5. Step 5: Solve for x
    x = 63,267,524,724.12/288,149.40
  6. Step 6: Final answer
    x = 219,565.01

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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.