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Finding the Fourth Proportional to 378,437.21, 567,749.22 and 112,197.72

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Solution

The fourth proportional to 378,437.21, 567,749.22 and 112,197.72 is: 168,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,437.21 : 567,749.22 = 112,197.72 : x
  2. Step 2: Convert to fraction form
    378,437.21/567,749.22 = 112,197.72/x
  3. Step 3: Cross multiply
    378,437.21x = 567,749.22 × 112,197.72
  4. Step 4: Simplify right side
    378,437.21x = 63,700,168,015.78
  5. Step 5: Solve for x
    x = 63,700,168,015.78/378,437.21
  6. Step 6: Final answer
    x = 168,324.27

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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.