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Finding the Fourth Proportional to 312,855.80, 469,278.84 and 76,196.48

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Solution

The fourth proportional to 312,855.80, 469,278.84 and 76,196.48 is: 114,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,855.80 : 469,278.84 = 76,196.48 : x
  2. Step 2: Convert to fraction form
    312,855.80/469,278.84 = 76,196.48/x
  3. Step 3: Cross multiply
    312,855.80x = 469,278.84 × 76,196.48
  4. Step 4: Simplify right side
    312,855.80x = 35,757,395,746.48
  5. Step 5: Solve for x
    x = 35,757,395,746.48/312,855.80
  6. Step 6: Final answer
    x = 114,293.54

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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.