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Finding the Fourth Proportional to 312,731.30, 469,615.88 and 195,149.97

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Solution

The fourth proportional to 312,731.30, 469,615.88 and 195,149.97 is: 293,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,731.30 : 469,615.88 = 195,149.97 : x
  2. Step 2: Convert to fraction form
    312,731.30/469,615.88 = 195,149.97/x
  3. Step 3: Cross multiply
    312,731.30x = 469,615.88 × 195,149.97
  4. Step 4: Simplify right side
    312,731.30x = 91,645,525,381.40
  5. Step 5: Solve for x
    x = 91,645,525,381.40/312,731.30
  6. Step 6: Final answer
    x = 293,048.78

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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.