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Finding the Fourth Proportional to 378,013.20, 567,019.80 and 347,832.60

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Solution

The fourth proportional to 378,013.20, 567,019.80 and 347,832.60 is: 521,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,013.20 : 567,019.80 = 347,832.60 : x
  2. Step 2: Convert to fraction form
    378,013.20/567,019.80 = 347,832.60/x
  3. Step 3: Cross multiply
    378,013.20x = 567,019.80 × 347,832.60
  4. Step 4: Simplify right side
    378,013.20x = 197,227,971,285.48
  5. Step 5: Solve for x
    x = 197,227,971,285.48/378,013.20
  6. Step 6: Final answer
    x = 521,748.90

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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.