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Finding the Fourth Proportional to 312,366.96, 468,550.43 and 75,709.64

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Solution

The fourth proportional to 312,366.96, 468,550.43 and 75,709.64 is: 113,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,366.96 : 468,550.43 = 75,709.64 : x
  2. Step 2: Convert to fraction form
    312,366.96/468,550.43 = 75,709.64/x
  3. Step 3: Cross multiply
    312,366.96x = 468,550.43 × 75,709.64
  4. Step 4: Simplify right side
    312,366.96x = 35,473,784,377.15
  5. Step 5: Solve for x
    x = 35,473,784,377.15/312,366.96
  6. Step 6: Final answer
    x = 113,564.46

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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.