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Finding the Fourth Proportional to 208,315.46, 312,472.71 and 50,543.78

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Solution

The fourth proportional to 208,315.46, 312,472.71 and 50,543.78 is: 75,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.46 : 312,472.71 = 50,543.78 : x
  2. Step 2: Convert to fraction form
    208,315.46/312,472.71 = 50,543.78/x
  3. Step 3: Cross multiply
    208,315.46x = 312,472.71 × 50,543.78
  4. Step 4: Simplify right side
    208,315.46x = 15,793,551,910.24
  5. Step 5: Solve for x
    x = 15,793,551,910.24/208,315.46
  6. Step 6: Final answer
    x = 75,815.55

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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.