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Finding the Fourth Proportional to 310,456.40, 465,295 and 132,754.48

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Solution

The fourth proportional to 310,456.40, 465,295 and 132,754.48 is: 198,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,456.40 : 465,295 = 132,754.48 : x
  2. Step 2: Convert to fraction form
    310,456.40/465,295 = 132,754.48/x
  3. Step 3: Cross multiply
    310,456.40x = 465,295 × 132,754.48
  4. Step 4: Simplify right side
    310,456.40x = 61,769,995,771.60
  5. Step 5: Solve for x
    x = 61,769,995,771.60/310,456.40
  6. Step 6: Final answer
    x = 198,965.12

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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.