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Finding the Fourth Proportional to 208,243.64, 312,365.47 and 50,472.09

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Solution

The fourth proportional to 208,243.64, 312,365.47 and 50,472.09 is: 75,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.64 : 312,365.47 = 50,472.09 : x
  2. Step 2: Convert to fraction form
    208,243.64/312,365.47 = 50,472.09/x
  3. Step 3: Cross multiply
    208,243.64x = 312,365.47 × 50,472.09
  4. Step 4: Simplify right side
    208,243.64x = 15,765,737,988.55
  5. Step 5: Solve for x
    x = 15,765,737,988.55/208,243.64
  6. Step 6: Final answer
    x = 75,708.14

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1.5x scale

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.