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Finding the Fourth Proportional to 312,586.28, 468,879.40 and 75,927.36

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Solution

The fourth proportional to 312,586.28, 468,879.40 and 75,927.36 is: 113,891.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,586.28 : 468,879.40 = 75,927.36 : x
  2. Step 2: Convert to fraction form
    312,586.28/468,879.40 = 75,927.36/x
  3. Step 3: Cross multiply
    312,586.28x = 468,879.40 × 75,927.36
  4. Step 4: Simplify right side
    312,586.28x = 35,600,774,620.75
  5. Step 5: Solve for x
    x = 35,600,774,620.75/312,586.28
  6. Step 6: Final answer
    x = 113,891.04

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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.