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Finding the Fourth Proportional to 343,839.30, 515,758.95 and 320,511.30

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Solution

The fourth proportional to 343,839.30, 515,758.95 and 320,511.30 is: 480,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,839.30 : 515,758.95 = 320,511.30 : x
  2. Step 2: Convert to fraction form
    343,839.30/515,758.95 = 320,511.30/x
  3. Step 3: Cross multiply
    343,839.30x = 515,758.95 × 320,511.30
  4. Step 4: Simplify right side
    343,839.30x = 165,306,571,551.14
  5. Step 5: Solve for x
    x = 165,306,571,551.14/343,839.30
  6. Step 6: Final answer
    x = 480,766.95

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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.