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Finding the Fourth Proportional to 274,212.90, 411,319.35 and 272,463.30

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Solution

The fourth proportional to 274,212.90, 411,319.35 and 272,463.30 is: 408,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,212.90 : 411,319.35 = 272,463.30 : x
  2. Step 2: Convert to fraction form
    274,212.90/411,319.35 = 272,463.30/x
  3. Step 3: Cross multiply
    274,212.90x = 411,319.35 × 272,463.30
  4. Step 4: Simplify right side
    274,212.90x = 112,069,427,454.86
  5. Step 5: Solve for x
    x = 112,069,427,454.86/274,212.90
  6. Step 6: Final answer
    x = 408,694.95

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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.