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Finding the Fourth Proportional to 231,471.90, 347,020.99 and 212,788.40

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Solution

The fourth proportional to 231,471.90, 347,020.99 and 212,788.40 is: 319,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,471.90 : 347,020.99 = 212,788.40 : x
  2. Step 2: Convert to fraction form
    231,471.90/347,020.99 = 212,788.40/x
  3. Step 3: Cross multiply
    231,471.90x = 347,020.99 × 212,788.40
  4. Step 4: Simplify right side
    231,471.90x = 73,842,040,164.57
  5. Step 5: Solve for x
    x = 73,842,040,164.57/231,471.90
  6. Step 6: Final answer
    x = 319,010.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.