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Finding the Fourth Proportional to 286,165.31, 394,888.37 and 158,830.88

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Solution

The fourth proportional to 286,165.31, 394,888.37 and 158,830.88 is: 219,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,165.31 : 394,888.37 = 158,830.88 : x
  2. Step 2: Convert to fraction form
    286,165.31/394,888.37 = 158,830.88/x
  3. Step 3: Cross multiply
    286,165.31x = 394,888.37 × 158,830.88
  4. Step 4: Simplify right side
    286,165.31x = 62,720,464,540.27
  5. Step 5: Solve for x
    x = 62,720,464,540.27/286,165.31
  6. Step 6: Final answer
    x = 219,175.64

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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.