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Finding the Fourth Proportional to 311,394, 429,724.20 and 177,258

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Solution

The fourth proportional to 311,394, 429,724.20 and 177,258 is: 244,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,394 : 429,724.20 = 177,258 : x
  2. Step 2: Convert to fraction form
    311,394/429,724.20 = 177,258/x
  3. Step 3: Cross multiply
    311,394x = 429,724.20 × 177,258
  4. Step 4: Simplify right side
    311,394x = 76,172,052,243.60
  5. Step 5: Solve for x
    x = 76,172,052,243.60/311,394
  6. Step 6: Final answer
    x = 244,616.31

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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.