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Finding the Fourth Proportional to 330,178.80, 495,268.20 and 212,080.80

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Solution

The fourth proportional to 330,178.80, 495,268.20 and 212,080.80 is: 318,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,178.80 : 495,268.20 = 212,080.80 : x
  2. Step 2: Convert to fraction form
    330,178.80/495,268.20 = 212,080.80/x
  3. Step 3: Cross multiply
    330,178.80x = 495,268.20 × 212,080.80
  4. Step 4: Simplify right side
    330,178.80x = 105,036,876,070.56
  5. Step 5: Solve for x
    x = 105,036,876,070.56/330,178.80
  6. Step 6: Final answer
    x = 318,121.20

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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.