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Finding the Fourth Proportional to 312,177.96, 468,214.11 and 87,486.68

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Solution

The fourth proportional to 312,177.96, 468,214.11 and 87,486.68 is: 131,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,177.96 : 468,214.11 = 87,486.68 : x
  2. Step 2: Convert to fraction form
    312,177.96/468,214.11 = 87,486.68/x
  3. Step 3: Cross multiply
    312,177.96x = 468,214.11 × 87,486.68
  4. Step 4: Simplify right side
    312,177.96x = 40,962,499,183.59
  5. Step 5: Solve for x
    x = 40,962,499,183.59/312,177.96
  6. Step 6: Final answer
    x = 131,215.22

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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.