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Finding the Fourth Proportional to 310,843.31, 428,946.17 and 174,882.98

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Solution

The fourth proportional to 310,843.31, 428,946.17 and 174,882.98 is: 241,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.31 : 428,946.17 = 174,882.98 : x
  2. Step 2: Convert to fraction form
    310,843.31/428,946.17 = 174,882.98/x
  3. Step 3: Cross multiply
    310,843.31x = 428,946.17 × 174,882.98
  4. Step 4: Simplify right side
    310,843.31x = 75,015,384,667.14
  5. Step 5: Solve for x
    x = 75,015,384,667.14/310,843.31
  6. Step 6: Final answer
    x = 241,328.62

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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.