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Finding the Fourth Proportional to 397,729.54, 548,866.84 and 218,881.54

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Solution

The fourth proportional to 397,729.54, 548,866.84 and 218,881.54 is: 302,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,729.54 : 548,866.84 = 218,881.54 : x
  2. Step 2: Convert to fraction form
    397,729.54/548,866.84 = 218,881.54/x
  3. Step 3: Cross multiply
    397,729.54x = 548,866.84 × 218,881.54
  4. Step 4: Simplify right side
    397,729.54x = 120,136,819,194.13
  5. Step 5: Solve for x
    x = 120,136,819,194.13/397,729.54
  6. Step 6: Final answer
    x = 302,056.57

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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.