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Finding the Fourth Proportional to 204,449.70, 306,856.80 and 120,104.40

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Solution

The fourth proportional to 204,449.70, 306,856.80 and 120,104.40 is: 180,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,449.70 : 306,856.80 = 120,104.40 : x
  2. Step 2: Convert to fraction form
    204,449.70/306,856.80 = 120,104.40/x
  3. Step 3: Cross multiply
    204,449.70x = 306,856.80 × 120,104.40
  4. Step 4: Simplify right side
    204,449.70x = 36,854,851,849.92
  5. Step 5: Solve for x
    x = 36,854,851,849.92/204,449.70
  6. Step 6: Final answer
    x = 180,263.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.