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Finding the Fourth Proportional to 492,764.80, 737,764.80 and 478,940.80

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Solution

The fourth proportional to 492,764.80, 737,764.80 and 478,940.80 is: 717,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,764.80 : 737,764.80 = 478,940.80 : x
  2. Step 2: Convert to fraction form
    492,764.80/737,764.80 = 478,940.80/x
  3. Step 3: Cross multiply
    492,764.80x = 737,764.80 × 478,940.80
  4. Step 4: Simplify right side
    492,764.80x = 353,345,663,523.84
  5. Step 5: Solve for x
    x = 353,345,663,523.84/492,764.80
  6. Step 6: Final answer
    x = 717,067.58

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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.