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Finding the Fourth Proportional to 225,819.88, 311,630.95 and 130,326.58

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Solution

The fourth proportional to 225,819.88, 311,630.95 and 130,326.58 is: 179,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819.88 : 311,630.95 = 130,326.58 : x
  2. Step 2: Convert to fraction form
    225,819.88/311,630.95 = 130,326.58/x
  3. Step 3: Cross multiply
    225,819.88x = 311,630.95 × 130,326.58
  4. Step 4: Simplify right side
    225,819.88x = 40,613,794,830.76
  5. Step 5: Solve for x
    x = 40,613,794,830.76/225,819.88
  6. Step 6: Final answer
    x = 179,850.40

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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.