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Finding the Fourth Proportional to 378,709.12, 567,921.92 and 162,540.56

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Solution

The fourth proportional to 378,709.12, 567,921.92 and 162,540.56 is: 243,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,709.12 : 567,921.92 = 162,540.56 : x
  2. Step 2: Convert to fraction form
    378,709.12/567,921.92 = 162,540.56/x
  3. Step 3: Cross multiply
    378,709.12x = 567,921.92 × 162,540.56
  4. Step 4: Simplify right side
    378,709.12x = 92,310,346,913.08
  5. Step 5: Solve for x
    x = 92,310,346,913.08/378,709.12
  6. Step 6: Final answer
    x = 243,750.00

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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.