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Finding the Fourth Proportional to 378,385.84, 567,906.69 and 198,598.26

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Solution

The fourth proportional to 378,385.84, 567,906.69 and 198,598.26 is: 298,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,385.84 : 567,906.69 = 198,598.26 : x
  2. Step 2: Convert to fraction form
    378,385.84/567,906.69 = 198,598.26/x
  3. Step 3: Cross multiply
    378,385.84x = 567,906.69 × 198,598.26
  4. Step 4: Simplify right side
    378,385.84x = 112,785,280,476.36
  5. Step 5: Solve for x
    x = 112,785,280,476.36/378,385.84
  6. Step 6: Final answer
    x = 298,069.51

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1.5x scale

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.