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Finding the Fourth Proportional to 378,314.36, 567,638.69 and 198,356.76

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Solution

The fourth proportional to 378,314.36, 567,638.69 and 198,356.76 is: 297,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,314.36 : 567,638.69 = 198,356.76 : x
  2. Step 2: Convert to fraction form
    378,314.36/567,638.69 = 198,356.76/x
  3. Step 3: Cross multiply
    378,314.36x = 567,638.69 × 198,356.76
  4. Step 4: Simplify right side
    378,314.36x = 112,594,970,407.26
  5. Step 5: Solve for x
    x = 112,594,970,407.26/378,314.36
  6. Step 6: Final answer
    x = 297,622.78

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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.