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Finding the Fourth Proportional to 397,548, 548,616.24 and 218,700

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Solution

The fourth proportional to 397,548, 548,616.24 and 218,700 is: 301,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,548 : 548,616.24 = 218,700 : x
  2. Step 2: Convert to fraction form
    397,548/548,616.24 = 218,700/x
  3. Step 3: Cross multiply
    397,548x = 548,616.24 × 218,700
  4. Step 4: Simplify right side
    397,548x = 119,982,371,688
  5. Step 5: Solve for x
    x = 119,982,371,688/397,548
  6. Step 6: Final answer
    x = 301,806

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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.