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Finding the Fourth Proportional to 208,252.42, 312,378.63 and 50,480.89

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Solution

The fourth proportional to 208,252.42, 312,378.63 and 50,480.89 is: 75,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,252.42 : 312,378.63 = 50,480.89 : x
  2. Step 2: Convert to fraction form
    208,252.42/312,378.63 = 50,480.89/x
  3. Step 3: Cross multiply
    208,252.42x = 312,378.63 × 50,480.89
  4. Step 4: Simplify right side
    208,252.42x = 15,769,151,259.38
  5. Step 5: Solve for x
    x = 15,769,151,259.38/208,252.42
  6. Step 6: Final answer
    x = 75,721.34

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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.