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Finding the Fourth Proportional to 312,694.61, 431,667.33 and 209,506.48

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Solution

The fourth proportional to 312,694.61, 431,667.33 and 209,506.48 is: 289,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,694.61 : 431,667.33 = 209,506.48 : x
  2. Step 2: Convert to fraction form
    312,694.61/431,667.33 = 209,506.48/x
  3. Step 3: Cross multiply
    312,694.61x = 431,667.33 × 209,506.48
  4. Step 4: Simplify right side
    312,694.61x = 90,437,103,991.85
  5. Step 5: Solve for x
    x = 90,437,103,991.85/312,694.61
  6. Step 6: Final answer
    x = 289,218.62

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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.