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Finding the Fourth Proportional to 378,035.40, 567,053.10 and 228,736.20

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Solution

The fourth proportional to 378,035.40, 567,053.10 and 228,736.20 is: 343,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,035.40 : 567,053.10 = 228,736.20 : x
  2. Step 2: Convert to fraction form
    378,035.40/567,053.10 = 228,736.20/x
  3. Step 3: Cross multiply
    378,035.40x = 567,053.10 × 228,736.20
  4. Step 4: Simplify right side
    378,035.40x = 129,705,571,292.22
  5. Step 5: Solve for x
    x = 129,705,571,292.22/378,035.40
  6. Step 6: Final answer
    x = 343,104.30

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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.