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Finding the Fourth Proportional to 422,685.78, 583,308.93 and 231,698.58

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Solution

The fourth proportional to 422,685.78, 583,308.93 and 231,698.58 is: 319,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,685.78 : 583,308.93 = 231,698.58 : x
  2. Step 2: Convert to fraction form
    422,685.78/583,308.93 = 231,698.58/x
  3. Step 3: Cross multiply
    422,685.78x = 583,308.93 × 231,698.58
  4. Step 4: Simplify right side
    422,685.78x = 135,151,850,782.32
  5. Step 5: Solve for x
    x = 135,151,850,782.32/422,685.78
  6. Step 6: Final answer
    x = 319,745.44

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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.