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Finding the Fourth Proportional to 397,072, 547,959.36 and 218,224

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Solution

The fourth proportional to 397,072, 547,959.36 and 218,224 is: 301,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,072 : 547,959.36 = 218,224 : x
  2. Step 2: Convert to fraction form
    397,072/547,959.36 = 218,224/x
  3. Step 3: Cross multiply
    397,072x = 547,959.36 × 218,224
  4. Step 4: Simplify right side
    397,072x = 119,577,883,376.64
  5. Step 5: Solve for x
    x = 119,577,883,376.64/397,072
  6. Step 6: Final answer
    x = 301,149.12

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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.