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Finding the Fourth Proportional to 312,548.46, 468,820.67 and 75,889.55

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Solution

The fourth proportional to 312,548.46, 468,820.67 and 75,889.55 is: 113,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,548.46 : 468,820.67 = 75,889.55 : x
  2. Step 2: Convert to fraction form
    312,548.46/468,820.67 = 75,889.55/x
  3. Step 3: Cross multiply
    312,548.46x = 468,820.67 × 75,889.55
  4. Step 4: Simplify right side
    312,548.46x = 35,578,589,677.00
  5. Step 5: Solve for x
    x = 35,578,589,677.00/312,548.46
  6. Step 6: Final answer
    x = 113,833.83

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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.