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Finding the Fourth Proportional to 274,508.80, 411,244.80 and 140,934.40

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Solution

The fourth proportional to 274,508.80, 411,244.80 and 140,934.40 is: 211,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,508.80 : 411,244.80 = 140,934.40 : x
  2. Step 2: Convert to fraction form
    274,508.80/411,244.80 = 140,934.40/x
  3. Step 3: Cross multiply
    274,508.80x = 411,244.80 × 140,934.40
  4. Step 4: Simplify right side
    274,508.80x = 57,958,539,141.12
  5. Step 5: Solve for x
    x = 57,958,539,141.12/274,508.80
  6. Step 6: Final answer
    x = 211,135.45

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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.