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Finding the Fourth Proportional to 312,883.64, 468,559.99 and 282,557.25

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Solution

The fourth proportional to 312,883.64, 468,559.99 and 282,557.25 is: 423,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,883.64 : 468,559.99 = 282,557.25 : x
  2. Step 2: Convert to fraction form
    312,883.64/468,559.99 = 282,557.25/x
  3. Step 3: Cross multiply
    312,883.64x = 468,559.99 × 282,557.25
  4. Step 4: Simplify right side
    312,883.64x = 132,395,023,183.65
  5. Step 5: Solve for x
    x = 132,395,023,183.65/312,883.64
  6. Step 6: Final answer
    x = 423,144.61

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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.