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Finding the Fourth Proportional to 280,406.58, 386,983.17 and 159,552.96

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Solution

The fourth proportional to 280,406.58, 386,983.17 and 159,552.96 is: 220,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,406.58 : 386,983.17 = 159,552.96 : x
  2. Step 2: Convert to fraction form
    280,406.58/386,983.17 = 159,552.96/x
  3. Step 3: Cross multiply
    280,406.58x = 386,983.17 × 159,552.96
  4. Step 4: Simplify right side
    280,406.58x = 61,744,310,243.68
  5. Step 5: Solve for x
    x = 61,744,310,243.68/280,406.58
  6. Step 6: Final answer
    x = 220,195.65

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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.