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Finding the Fourth Proportional to 378,190.61, 567,618.70 and 198,404.51

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Solution

The fourth proportional to 378,190.61, 567,618.70 and 198,404.51 is: 297,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,190.61 : 567,618.70 = 198,404.51 : x
  2. Step 2: Convert to fraction form
    378,190.61/567,618.70 = 198,404.51/x
  3. Step 3: Cross multiply
    378,190.61x = 567,618.70 × 198,404.51
  4. Step 4: Simplify right side
    378,190.61x = 112,618,106,706.23
  5. Step 5: Solve for x
    x = 112,618,106,706.23/378,190.61
  6. Step 6: Final answer
    x = 297,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.