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Finding the Fourth Proportional to 397,143, 548,057.34 and 218,295

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Solution

The fourth proportional to 397,143, 548,057.34 and 218,295 is: 301,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,143 : 548,057.34 = 218,295 : x
  2. Step 2: Convert to fraction form
    397,143/548,057.34 = 218,295/x
  3. Step 3: Cross multiply
    397,143x = 548,057.34 × 218,295
  4. Step 4: Simplify right side
    397,143x = 119,638,177,035.30
  5. Step 5: Solve for x
    x = 119,638,177,035.30/397,143
  6. Step 6: Final answer
    x = 301,247.10

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