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Finding the Fourth Proportional to 492,000.78, 738,104.76 and 278,870.79

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Solution

The fourth proportional to 492,000.78, 738,104.76 and 278,870.79 is: 418,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,000.78 : 738,104.76 = 278,870.79 : x
  2. Step 2: Convert to fraction form
    492,000.78/738,104.76 = 278,870.79/x
  3. Step 3: Cross multiply
    492,000.78x = 738,104.76 × 278,870.79
  4. Step 4: Simplify right side
    492,000.78x = 205,835,857,523.96
  5. Step 5: Solve for x
    x = 205,835,857,523.96/492,000.78
  6. Step 6: Final answer
    x = 418,364.90

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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.