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Finding the Fourth Proportional to 287,872.68, 397,263.12 and 158,819.18

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Solution

The fourth proportional to 287,872.68, 397,263.12 and 158,819.18 is: 219,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,872.68 : 397,263.12 = 158,819.18 : x
  2. Step 2: Convert to fraction form
    287,872.68/397,263.12 = 158,819.18/x
  3. Step 3: Cross multiply
    287,872.68x = 397,263.12 × 158,819.18
  4. Step 4: Simplify right side
    287,872.68x = 63,093,000,976.33
  5. Step 5: Solve for x
    x = 63,093,000,976.33/287,872.68
  6. Step 6: Final answer
    x = 219,169.81

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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.