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Finding the Fourth Proportional to 310,278.80, 465,141.18 and 132,694.40

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Solution

The fourth proportional to 310,278.80, 465,141.18 and 132,694.40 is: 198,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,278.80 : 465,141.18 = 132,694.40 : x
  2. Step 2: Convert to fraction form
    310,278.80/465,141.18 = 132,694.40/x
  3. Step 3: Cross multiply
    310,278.80x = 465,141.18 × 132,694.40
  4. Step 4: Simplify right side
    310,278.80x = 61,721,631,455.85
  5. Step 5: Solve for x
    x = 61,721,631,455.85/310,278.80
  6. Step 6: Final answer
    x = 198,923.13

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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.