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Finding the Fourth Proportional to 378,269.40, 567,404.10 and 218,837.10

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Solution

The fourth proportional to 378,269.40, 567,404.10 and 218,837.10 is: 328,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,269.40 : 567,404.10 = 218,837.10 : x
  2. Step 2: Convert to fraction form
    378,269.40/567,404.10 = 218,837.10/x
  3. Step 3: Cross multiply
    378,269.40x = 567,404.10 × 218,837.10
  4. Step 4: Simplify right side
    378,269.40x = 124,169,067,772.11
  5. Step 5: Solve for x
    x = 124,169,067,772.11/378,269.40
  6. Step 6: Final answer
    x = 328,255.65

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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.