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Finding the Fourth Proportional to 221,310.24, 305,410.24 and 120,708.24

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Solution

The fourth proportional to 221,310.24, 305,410.24 and 120,708.24 is: 166,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,310.24 : 305,410.24 = 120,708.24 : x
  2. Step 2: Convert to fraction form
    221,310.24/305,410.24 = 120,708.24/x
  3. Step 3: Cross multiply
    221,310.24x = 305,410.24 × 120,708.24
  4. Step 4: Simplify right side
    221,310.24x = 36,865,532,548.38
  5. Step 5: Solve for x
    x = 36,865,532,548.38/221,310.24
  6. Step 6: Final answer
    x = 166,578.52

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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.