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Finding the Fourth Proportional to 474,634.78, 654,993.65 and 256,843.31

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Solution

The fourth proportional to 474,634.78, 654,993.65 and 256,843.31 is: 354,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,634.78 : 654,993.65 = 256,843.31 : x
  2. Step 2: Convert to fraction form
    474,634.78/654,993.65 = 256,843.31/x
  3. Step 3: Cross multiply
    474,634.78x = 654,993.65 × 256,843.31
  4. Step 4: Simplify right side
    474,634.78x = 168,230,734,462.12
  5. Step 5: Solve for x
    x = 168,230,734,462.12/474,634.78
  6. Step 6: Final answer
    x = 354,442.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.