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Finding the Fourth Proportional to 397,698.50, 548,824.02 and 218,850.50

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Solution

The fourth proportional to 397,698.50, 548,824.02 and 218,850.50 is: 302,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,698.50 : 548,824.02 = 218,850.50 : x
  2. Step 2: Convert to fraction form
    397,698.50/548,824.02 = 218,850.50/x
  3. Step 3: Cross multiply
    397,698.50x = 548,824.02 × 218,850.50
  4. Step 4: Simplify right side
    397,698.50x = 120,110,411,189.01
  5. Step 5: Solve for x
    x = 120,110,411,189.01/397,698.50
  6. Step 6: Final answer
    x = 302,013.74

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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.