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Finding the Fourth Proportional to 378,000.10, 567,000.15 and 200,415.70

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Solution

The fourth proportional to 378,000.10, 567,000.15 and 200,415.70 is: 300,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000.10 : 567,000.15 = 200,415.70 : x
  2. Step 2: Convert to fraction form
    378,000.10/567,000.15 = 200,415.70/x
  3. Step 3: Cross multiply
    378,000.10x = 567,000.15 × 200,415.70
  4. Step 4: Simplify right side
    378,000.10x = 113,635,731,962.36
  5. Step 5: Solve for x
    x = 113,635,731,962.36/378,000.10
  6. Step 6: Final answer
    x = 300,623.55

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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.