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Finding the Fourth Proportional to 252,435.78, 378,398.16 and 163,745.64

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Solution

The fourth proportional to 252,435.78, 378,398.16 and 163,745.64 is: 245,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,435.78 : 378,398.16 = 163,745.64 : x
  2. Step 2: Convert to fraction form
    252,435.78/378,398.16 = 163,745.64/x
  3. Step 3: Cross multiply
    252,435.78x = 378,398.16 × 163,745.64
  4. Step 4: Simplify right side
    252,435.78x = 61,961,048,884.02
  5. Step 5: Solve for x
    x = 61,961,048,884.02/252,435.78
  6. Step 6: Final answer
    x = 245,452.72

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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.