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Finding the Fourth Proportional to 397,769.50, 548,922 and 218,921.50

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Solution

The fourth proportional to 397,769.50, 548,922 and 218,921.50 is: 302,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,769.50 : 548,922 = 218,921.50 : x
  2. Step 2: Convert to fraction form
    397,769.50/548,922 = 218,921.50/x
  3. Step 3: Cross multiply
    397,769.50x = 548,922 × 218,921.50
  4. Step 4: Simplify right side
    397,769.50x = 120,170,827,623
  5. Step 5: Solve for x
    x = 120,170,827,623/397,769.50
  6. Step 6: Final answer
    x = 302,111.72

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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.