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Finding the Fourth Proportional to 384,847.20, 577,270.80 and 378,286.20

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Solution

The fourth proportional to 384,847.20, 577,270.80 and 378,286.20 is: 567,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,847.20 : 577,270.80 = 378,286.20 : x
  2. Step 2: Convert to fraction form
    384,847.20/577,270.80 = 378,286.20/x
  3. Step 3: Cross multiply
    384,847.20x = 577,270.80 × 378,286.20
  4. Step 4: Simplify right side
    384,847.20x = 218,373,577,302.96
  5. Step 5: Solve for x
    x = 218,373,577,302.96/384,847.20
  6. Step 6: Final answer
    x = 567,429.30

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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.