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Finding the Fourth Proportional to 287,104.50, 396,204.21 and 159,780.20

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Solution

The fourth proportional to 287,104.50, 396,204.21 and 159,780.20 is: 220,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,104.50 : 396,204.21 = 159,780.20 : x
  2. Step 2: Convert to fraction form
    287,104.50/396,204.21 = 159,780.20/x
  3. Step 3: Cross multiply
    287,104.50x = 396,204.21 × 159,780.20
  4. Step 4: Simplify right side
    287,104.50x = 63,305,585,933.62
  5. Step 5: Solve for x
    x = 63,305,585,933.62/287,104.50
  6. Step 6: Final answer
    x = 220,496.67

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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.