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Finding the Fourth Proportional to 312,034.80, 468,052.20 and 259,546.80

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Solution

The fourth proportional to 312,034.80, 468,052.20 and 259,546.80 is: 389,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.80 : 468,052.20 = 259,546.80 : x
  2. Step 2: Convert to fraction form
    312,034.80/468,052.20 = 259,546.80/x
  3. Step 3: Cross multiply
    312,034.80x = 468,052.20 × 259,546.80
  4. Step 4: Simplify right side
    312,034.80x = 121,481,450,742.96
  5. Step 5: Solve for x
    x = 121,481,450,742.96/312,034.80
  6. Step 6: Final answer
    x = 389,320.20

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1.5x scale

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.