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Finding the Fourth Proportional to 378,844, 568,421.78 and 278,156.20

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Solution

The fourth proportional to 378,844, 568,421.78 and 278,156.20 is: 417,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,844 : 568,421.78 = 278,156.20 : x
  2. Step 2: Convert to fraction form
    378,844/568,421.78 = 278,156.20/x
  3. Step 3: Cross multiply
    378,844x = 568,421.78 × 278,156.20
  4. Step 4: Simplify right side
    378,844x = 158,110,042,322.04
  5. Step 5: Solve for x
    x = 158,110,042,322.04/378,844
  6. Step 6: Final answer
    x = 417,348.68

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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.