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Finding the Fourth Proportional to 274,212.40, 411,318.60 and 272,462.80

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Solution

The fourth proportional to 274,212.40, 411,318.60 and 272,462.80 is: 408,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,212.40 : 411,318.60 = 272,462.80 : x
  2. Step 2: Convert to fraction form
    274,212.40/411,318.60 = 272,462.80/x
  3. Step 3: Cross multiply
    274,212.40x = 411,318.60 × 272,462.80
  4. Step 4: Simplify right side
    274,212.40x = 112,069,017,448.08
  5. Step 5: Solve for x
    x = 112,069,017,448.08/274,212.40
  6. Step 6: Final answer
    x = 408,694.20

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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.