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Finding the Fourth Proportional to 310,243.98, 428,090.07 and 174,251.89

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Solution

The fourth proportional to 310,243.98, 428,090.07 and 174,251.89 is: 240,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,243.98 : 428,090.07 = 174,251.89 : x
  2. Step 2: Convert to fraction form
    310,243.98/428,090.07 = 174,251.89/x
  3. Step 3: Cross multiply
    310,243.98x = 428,090.07 × 174,251.89
  4. Step 4: Simplify right side
    310,243.98x = 74,595,503,787.73
  5. Step 5: Solve for x
    x = 74,595,503,787.73/310,243.98
  6. Step 6: Final answer
    x = 240,441.42

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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.