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Finding the Fourth Proportional to 312,288.43, 468,145.60 and 112,559.93

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Solution

The fourth proportional to 312,288.43, 468,145.60 and 112,559.93 is: 168,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.43 : 468,145.60 = 112,559.93 : x
  2. Step 2: Convert to fraction form
    312,288.43/468,145.60 = 112,559.93/x
  3. Step 3: Cross multiply
    312,288.43x = 468,145.60 × 112,559.93
  4. Step 4: Simplify right side
    312,288.43x = 52,694,435,965.81
  5. Step 5: Solve for x
    x = 52,694,435,965.81/312,288.43
  6. Step 6: Final answer
    x = 168,736.43

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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.