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Finding the Fourth Proportional to 778,751.20, 1,167,478.80 and 329,816.80

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Solution

The fourth proportional to 778,751.20, 1,167,478.80 and 329,816.80 is: 494,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,751.20 : 1,167,478.80 = 329,816.80 : x
  2. Step 2: Convert to fraction form
    778,751.20/1,167,478.80 = 329,816.80/x
  3. Step 3: Cross multiply
    778,751.20x = 1,167,478.80 × 329,816.80
  4. Step 4: Simplify right side
    778,751.20x = 385,054,121,883.84
  5. Step 5: Solve for x
    x = 385,054,121,883.84/778,751.20
  6. Step 6: Final answer
    x = 494,450.76

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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.