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Finding the Fourth Proportional to 378,037.40, 567,056.10 and 228,738.20

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Solution

The fourth proportional to 378,037.40, 567,056.10 and 228,738.20 is: 343,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,037.40 : 567,056.10 = 228,738.20 : x
  2. Step 2: Convert to fraction form
    378,037.40/567,056.10 = 228,738.20/x
  3. Step 3: Cross multiply
    378,037.40x = 567,056.10 × 228,738.20
  4. Step 4: Simplify right side
    378,037.40x = 129,707,391,613.02
  5. Step 5: Solve for x
    x = 129,707,391,613.02/378,037.40
  6. Step 6: Final answer
    x = 343,107.30

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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.