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Finding the Fourth Proportional to 317,470.34, 438,245.72 and 194,982.56

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Solution

The fourth proportional to 317,470.34, 438,245.72 and 194,982.56 is: 269,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,470.34 : 438,245.72 = 194,982.56 : x
  2. Step 2: Convert to fraction form
    317,470.34/438,245.72 = 194,982.56/x
  3. Step 3: Cross multiply
    317,470.34x = 438,245.72 × 194,982.56
  4. Step 4: Simplify right side
    317,470.34x = 85,450,272,394.64
  5. Step 5: Solve for x
    x = 85,450,272,394.64/317,470.34
  6. Step 6: Final answer
    x = 269,159.86

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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.