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Finding the Fourth Proportional to 280,447.68, 420,697.97 and 217,338.49

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Solution

The fourth proportional to 280,447.68, 420,697.97 and 217,338.49 is: 326,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,447.68 : 420,697.97 = 217,338.49 : x
  2. Step 2: Convert to fraction form
    280,447.68/420,697.97 = 217,338.49/x
  3. Step 3: Cross multiply
    280,447.68x = 420,697.97 × 217,338.49
  4. Step 4: Simplify right side
    280,447.68x = 91,433,861,545.87
  5. Step 5: Solve for x
    x = 91,433,861,545.87/280,447.68
  6. Step 6: Final answer
    x = 326,028.23

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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.