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Finding the Fourth Proportional to 384,213.20, 576,319.80 and 378,308.30

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Solution

The fourth proportional to 384,213.20, 576,319.80 and 378,308.30 is: 567,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,213.20 : 576,319.80 = 378,308.30 : x
  2. Step 2: Convert to fraction form
    384,213.20/576,319.80 = 378,308.30/x
  3. Step 3: Cross multiply
    384,213.20x = 576,319.80 × 378,308.30
  4. Step 4: Simplify right side
    384,213.20x = 218,026,563,794.34
  5. Step 5: Solve for x
    x = 218,026,563,794.34/384,213.20
  6. Step 6: Final answer
    x = 567,462.45

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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.