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Finding the Fourth Proportional to 218,548.60, 327,762.90 and 138,466.36

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Solution

The fourth proportional to 218,548.60, 327,762.90 and 138,466.36 is: 207,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,548.60 : 327,762.90 = 138,466.36 : x
  2. Step 2: Convert to fraction form
    218,548.60/327,762.90 = 138,466.36/x
  3. Step 3: Cross multiply
    218,548.60x = 327,762.90 × 138,466.36
  4. Step 4: Simplify right side
    218,548.60x = 45,384,135,706.04
  5. Step 5: Solve for x
    x = 45,384,135,706.04/218,548.60
  6. Step 6: Final answer
    x = 207,661.53

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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.