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Finding the Fourth Proportional to 286,832.88, 395,842.14 and 165,979.80

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Solution

The fourth proportional to 286,832.88, 395,842.14 and 165,979.80 is: 229,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,832.88 : 395,842.14 = 165,979.80 : x
  2. Step 2: Convert to fraction form
    286,832.88/395,842.14 = 165,979.80/x
  3. Step 3: Cross multiply
    286,832.88x = 395,842.14 × 165,979.80
  4. Step 4: Simplify right side
    286,832.88x = 65,701,799,228.77
  5. Step 5: Solve for x
    x = 65,701,799,228.77/286,832.88
  6. Step 6: Final answer
    x = 229,059.51

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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.