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Finding the Fourth Proportional to 224,225.68, 309,431.22 and 128,738.20

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Solution

The fourth proportional to 224,225.68, 309,431.22 and 128,738.20 is: 177,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,225.68 : 309,431.22 = 128,738.20 : x
  2. Step 2: Convert to fraction form
    224,225.68/309,431.22 = 128,738.20/x
  3. Step 3: Cross multiply
    224,225.68x = 309,431.22 × 128,738.20
  4. Step 4: Simplify right side
    224,225.68x = 39,835,618,286.60
  5. Step 5: Solve for x
    x = 39,835,618,286.60/224,225.68
  6. Step 6: Final answer
    x = 177,658.59

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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.