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Finding the Fourth Proportional to 312,514.66, 468,772.22 and 75,857.56

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Solution

The fourth proportional to 312,514.66, 468,772.22 and 75,857.56 is: 113,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,514.66 : 468,772.22 = 75,857.56 : x
  2. Step 2: Convert to fraction form
    312,514.66/468,772.22 = 75,857.56/x
  3. Step 3: Cross multiply
    312,514.66x = 468,772.22 × 75,857.56
  4. Step 4: Simplify right side
    312,514.66x = 35,559,916,804.98
  5. Step 5: Solve for x
    x = 35,559,916,804.98/312,514.66
  6. Step 6: Final answer
    x = 113,786.40

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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.