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Finding the Fourth Proportional to 312,080.80, 468,121.20 and 259,549.60

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Solution

The fourth proportional to 312,080.80, 468,121.20 and 259,549.60 is: 389,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,080.80 : 468,121.20 = 259,549.60 : x
  2. Step 2: Convert to fraction form
    312,080.80/468,121.20 = 259,549.60/x
  3. Step 3: Cross multiply
    312,080.80x = 468,121.20 × 259,549.60
  4. Step 4: Simplify right side
    312,080.80x = 121,500,670,211.52
  5. Step 5: Solve for x
    x = 121,500,670,211.52/312,080.80
  6. Step 6: Final answer
    x = 389,324.40

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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.