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Finding the Fourth Proportional to 397,661.50, 548,777.19 and 218,813.50

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Solution

The fourth proportional to 397,661.50, 548,777.19 and 218,813.50 is: 301,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,661.50 : 548,777.19 = 218,813.50 : x
  2. Step 2: Convert to fraction form
    397,661.50/548,777.19 = 218,813.50/x
  3. Step 3: Cross multiply
    397,661.50x = 548,777.19 × 218,813.50
  4. Step 4: Simplify right side
    397,661.50x = 120,079,857,664.07
  5. Step 5: Solve for x
    x = 120,079,857,664.07/397,661.50
  6. Step 6: Final answer
    x = 301,965.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.