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Finding the Fourth Proportional to 409,414.20, 614,754.90 and 222,790.20

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Solution

The fourth proportional to 409,414.20, 614,754.90 and 222,790.20 is: 334,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.20 : 614,754.90 = 222,790.20 : x
  2. Step 2: Convert to fraction form
    409,414.20/614,754.90 = 222,790.20/x
  3. Step 3: Cross multiply
    409,414.20x = 614,754.90 × 222,790.20
  4. Step 4: Simplify right side
    409,414.20x = 136,961,367,121.98
  5. Step 5: Solve for x
    x = 136,961,367,121.98/409,414.20
  6. Step 6: Final answer
    x = 334,530.08

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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.