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Finding the Fourth Proportional to 281,472.66, 388,396.89 and 224,257.23

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Solution

The fourth proportional to 281,472.66, 388,396.89 and 224,257.23 is: 309,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,472.66 : 388,396.89 = 224,257.23 : x
  2. Step 2: Convert to fraction form
    281,472.66/388,396.89 = 224,257.23/x
  3. Step 3: Cross multiply
    281,472.66x = 388,396.89 × 224,257.23
  4. Step 4: Simplify right side
    281,472.66x = 87,100,810,692.01
  5. Step 5: Solve for x
    x = 87,100,810,692.01/281,472.66
  6. Step 6: Final answer
    x = 309,446.79

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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.