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Finding the Fourth Proportional to 280,856.35, 387,584.34 and 159,995.84

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Solution

The fourth proportional to 280,856.35, 387,584.34 and 159,995.84 is: 220,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,856.35 : 387,584.34 = 159,995.84 : x
  2. Step 2: Convert to fraction form
    280,856.35/387,584.34 = 159,995.84/x
  3. Step 3: Cross multiply
    280,856.35x = 387,584.34 × 159,995.84
  4. Step 4: Simplify right side
    280,856.35x = 62,011,882,049.15
  5. Step 5: Solve for x
    x = 62,011,882,049.15/280,856.35
  6. Step 6: Final answer
    x = 220,795.73

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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.