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Finding the Fourth Proportional to 378,036.40, 567,054.60 and 228,737.20

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Solution

The fourth proportional to 378,036.40, 567,054.60 and 228,737.20 is: 343,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,036.40 : 567,054.60 = 228,737.20 : x
  2. Step 2: Convert to fraction form
    378,036.40/567,054.60 = 228,737.20/x
  3. Step 3: Cross multiply
    378,036.40x = 567,054.60 × 228,737.20
  4. Step 4: Simplify right side
    378,036.40x = 129,706,481,451.12
  5. Step 5: Solve for x
    x = 129,706,481,451.12/378,036.40
  6. Step 6: Final answer
    x = 343,105.80

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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.