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Finding the Fourth Proportional to 378,000.10, 567,000.15 and 189,043.30

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Solution

The fourth proportional to 378,000.10, 567,000.15 and 189,043.30 is: 283,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000.10 : 567,000.15 = 189,043.30 : x
  2. Step 2: Convert to fraction form
    378,000.10/567,000.15 = 189,043.30/x
  3. Step 3: Cross multiply
    378,000.10x = 567,000.15 × 189,043.30
  4. Step 4: Simplify right side
    378,000.10x = 107,187,579,456.50
  5. Step 5: Solve for x
    x = 107,187,579,456.50/378,000.10
  6. Step 6: Final answer
    x = 283,564.95

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Similar ratio
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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.