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Finding the Fourth Proportional to 397,017, 547,883.46 and 218,169

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Solution

The fourth proportional to 397,017, 547,883.46 and 218,169 is: 301,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,017 : 547,883.46 = 218,169 : x
  2. Step 2: Convert to fraction form
    397,017/547,883.46 = 218,169/x
  3. Step 3: Cross multiply
    397,017x = 547,883.46 × 218,169
  4. Step 4: Simplify right side
    397,017x = 119,531,186,584.74
  5. Step 5: Solve for x
    x = 119,531,186,584.74/397,017
  6. Step 6: Final answer
    x = 301,073.22

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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.