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Finding the Fourth Proportional to 231,472.90, 347,022.48 and 212,789.40

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Solution

The fourth proportional to 231,472.90, 347,022.48 and 212,789.40 is: 319,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,472.90 : 347,022.48 = 212,789.40 : x
  2. Step 2: Convert to fraction form
    231,472.90/347,022.48 = 212,789.40/x
  3. Step 3: Cross multiply
    231,472.90x = 347,022.48 × 212,789.40
  4. Step 4: Simplify right side
    231,472.90x = 73,842,705,305.71
  5. Step 5: Solve for x
    x = 73,842,705,305.71/231,472.90
  6. Step 6: Final answer
    x = 319,012.31

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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.