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Finding the Fourth Proportional to 378,002.10, 567,003.15 and 218,569.80

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Solution

The fourth proportional to 378,002.10, 567,003.15 and 218,569.80 is: 327,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,002.10 : 567,003.15 = 218,569.80 : x
  2. Step 2: Convert to fraction form
    378,002.10/567,003.15 = 218,569.80/x
  3. Step 3: Cross multiply
    378,002.10x = 567,003.15 × 218,569.80
  4. Step 4: Simplify right side
    378,002.10x = 123,929,765,094.87
  5. Step 5: Solve for x
    x = 123,929,765,094.87/378,002.10
  6. Step 6: Final answer
    x = 327,854.70

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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.