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Finding the Fourth Proportional to 311,670.50, 467,480.75 and 138,615.81

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Solution

The fourth proportional to 311,670.50, 467,480.75 and 138,615.81 is: 207,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,670.50 : 467,480.75 = 138,615.81 : x
  2. Step 2: Convert to fraction form
    311,670.50/467,480.75 = 138,615.81/x
  3. Step 3: Cross multiply
    311,670.50x = 467,480.75 × 138,615.81
  4. Step 4: Simplify right side
    311,670.50x = 64,800,223,783.82
  5. Step 5: Solve for x
    x = 64,800,223,783.82/311,670.50
  6. Step 6: Final answer
    x = 207,912.60

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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.