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Finding the Fourth Proportional to 312,407.94, 468,538.78 and 87,789.83

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Solution

The fourth proportional to 312,407.94, 468,538.78 and 87,789.83 is: 131,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,407.94 : 468,538.78 = 87,789.83 : x
  2. Step 2: Convert to fraction form
    312,407.94/468,538.78 = 87,789.83/x
  3. Step 3: Cross multiply
    312,407.94x = 468,538.78 × 87,789.83
  4. Step 4: Simplify right side
    312,407.94x = 41,132,937,447.04
  5. Step 5: Solve for x
    x = 41,132,937,447.04/312,407.94
  6. Step 6: Final answer
    x = 131,664.19

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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.