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Finding the Fourth Proportional to 274,306.34, 411,456.54 and 208,152.74

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Solution

The fourth proportional to 274,306.34, 411,456.54 and 208,152.74 is: 312,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,306.34 : 411,456.54 = 208,152.74 : x
  2. Step 2: Convert to fraction form
    274,306.34/411,456.54 = 208,152.74/x
  3. Step 3: Cross multiply
    274,306.34x = 411,456.54 × 208,152.74
  4. Step 4: Simplify right side
    274,306.34x = 85,645,806,191.92
  5. Step 5: Solve for x
    x = 85,645,806,191.92/274,306.34
  6. Step 6: Final answer
    x = 312,226.86

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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.