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Finding the Fourth Proportional to 229,069, 316,115.40 and 128,467

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Solution

The fourth proportional to 229,069, 316,115.40 and 128,467 is: 177,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,069 : 316,115.40 = 128,467 : x
  2. Step 2: Convert to fraction form
    229,069/316,115.40 = 128,467/x
  3. Step 3: Cross multiply
    229,069x = 316,115.40 × 128,467
  4. Step 4: Simplify right side
    229,069x = 40,610,397,091.80
  5. Step 5: Solve for x
    x = 40,610,397,091.80/229,069
  6. Step 6: Final answer
    x = 177,284.56

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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.