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Finding the Fourth Proportional to 292,821.40, 439,251.30 and 82,466.20

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Solution

The fourth proportional to 292,821.40, 439,251.30 and 82,466.20 is: 123,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,821.40 : 439,251.30 = 82,466.20 : x
  2. Step 2: Convert to fraction form
    292,821.40/439,251.30 = 82,466.20/x
  3. Step 3: Cross multiply
    292,821.40x = 439,251.30 × 82,466.20
  4. Step 4: Simplify right side
    292,821.40x = 36,223,385,556.06
  5. Step 5: Solve for x
    x = 36,223,385,556.06/292,821.40
  6. Step 6: Final answer
    x = 123,704.71

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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.