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Finding the Fourth Proportional to 208,244.40, 312,366.61 and 50,472.86

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Solution

The fourth proportional to 208,244.40, 312,366.61 and 50,472.86 is: 75,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,244.40 : 312,366.61 = 50,472.86 : x
  2. Step 2: Convert to fraction form
    208,244.40/312,366.61 = 50,472.86/x
  3. Step 3: Cross multiply
    208,244.40x = 312,366.61 × 50,472.86
  4. Step 4: Simplify right side
    208,244.40x = 15,766,035,554.99
  5. Step 5: Solve for x
    x = 15,766,035,554.99/208,244.40
  6. Step 6: Final answer
    x = 75,709.29

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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.