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Finding the Fourth Proportional to 224,286.32, 309,501 and 128,725.76

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Solution

The fourth proportional to 224,286.32, 309,501 and 128,725.76 is: 177,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,286.32 : 309,501 = 128,725.76 : x
  2. Step 2: Convert to fraction form
    224,286.32/309,501 = 128,725.76/x
  3. Step 3: Cross multiply
    224,286.32x = 309,501 × 128,725.76
  4. Step 4: Simplify right side
    224,286.32x = 39,840,751,445.76
  5. Step 5: Solve for x
    x = 39,840,751,445.76/224,286.32
  6. Step 6: Final answer
    x = 177,633.44

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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.