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Finding the Fourth Proportional to 229,478, 316,709.34 and 128,876

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Solution

The fourth proportional to 229,478, 316,709.34 and 128,876 is: 177,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478 : 316,709.34 = 128,876 : x
  2. Step 2: Convert to fraction form
    229,478/316,709.34 = 128,876/x
  3. Step 3: Cross multiply
    229,478x = 316,709.34 × 128,876
  4. Step 4: Simplify right side
    229,478x = 40,816,232,901.84
  5. Step 5: Solve for x
    x = 40,816,232,901.84/229,478
  6. Step 6: Final answer
    x = 177,865.56

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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.