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Finding the Fourth Proportional to 378,843, 568,420.28 and 278,155.20

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Solution

The fourth proportional to 378,843, 568,420.28 and 278,155.20 is: 417,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,843 : 568,420.28 = 278,155.20 : x
  2. Step 2: Convert to fraction form
    378,843/568,420.28 = 278,155.20/x
  3. Step 3: Cross multiply
    378,843x = 568,420.28 × 278,155.20
  4. Step 4: Simplify right side
    378,843x = 158,109,056,667.46
  5. Step 5: Solve for x
    x = 158,109,056,667.46/378,843
  6. Step 6: Final answer
    x = 417,347.18

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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.