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Finding the Fourth Proportional to 312,020.10, 468,043.11 and 259,797.78

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Solution

The fourth proportional to 312,020.10, 468,043.11 and 259,797.78 is: 389,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,020.10 : 468,043.11 = 259,797.78 : x
  2. Step 2: Convert to fraction form
    312,020.10/468,043.11 = 259,797.78/x
  3. Step 3: Cross multiply
    312,020.10x = 468,043.11 × 259,797.78
  4. Step 4: Simplify right side
    312,020.10x = 121,596,560,922.30
  5. Step 5: Solve for x
    x = 121,596,560,922.30/312,020.10
  6. Step 6: Final answer
    x = 389,707.46

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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.