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Finding the Fourth Proportional to 208,242.48, 312,363.71 and 50,470.94

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Solution

The fourth proportional to 208,242.48, 312,363.71 and 50,470.94 is: 75,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242.48 : 312,363.71 = 50,470.94 : x
  2. Step 2: Convert to fraction form
    208,242.48/312,363.71 = 50,470.94/x
  3. Step 3: Cross multiply
    208,242.48x = 312,363.71 × 50,470.94
  4. Step 4: Simplify right side
    208,242.48x = 15,765,288,251.41
  5. Step 5: Solve for x
    x = 15,765,288,251.41/208,242.48
  6. Step 6: Final answer
    x = 75,706.40

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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.