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Finding the Fourth Proportional to 312,373.27, 468,558.36 and 75,715.95

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Solution

The fourth proportional to 312,373.27, 468,558.36 and 75,715.95 is: 113,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,373.27 : 468,558.36 = 75,715.95 : x
  2. Step 2: Convert to fraction form
    312,373.27/468,558.36 = 75,715.95/x
  3. Step 3: Cross multiply
    312,373.27x = 468,558.36 × 75,715.95
  4. Step 4: Simplify right side
    312,373.27x = 35,477,343,114.94
  5. Step 5: Solve for x
    x = 35,477,343,114.94/312,373.27
  6. Step 6: Final answer
    x = 113,573.56

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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.