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Finding the Fourth Proportional to 397,446, 548,484.12 and 218,598

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Solution

The fourth proportional to 397,446, 548,484.12 and 218,598 is: 301,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,446 : 548,484.12 = 218,598 : x
  2. Step 2: Convert to fraction form
    397,446/548,484.12 = 218,598/x
  3. Step 3: Cross multiply
    397,446x = 548,484.12 × 218,598
  4. Step 4: Simplify right side
    397,446x = 119,897,531,663.76
  5. Step 5: Solve for x
    x = 119,897,531,663.76/397,446
  6. Step 6: Final answer
    x = 301,669.99

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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.