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Finding the Fourth Proportional to 286,712.56, 395,712.22 and 165,927.38

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Solution

The fourth proportional to 286,712.56, 395,712.22 and 165,927.38 is: 229,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,712.56 : 395,712.22 = 165,927.38 : x
  2. Step 2: Convert to fraction form
    286,712.56/395,712.22 = 165,927.38/x
  3. Step 3: Cross multiply
    286,712.56x = 395,712.22 × 165,927.38
  4. Step 4: Simplify right side
    286,712.56x = 65,659,491,898.58
  5. Step 5: Solve for x
    x = 65,659,491,898.58/286,712.56
  6. Step 6: Final answer
    x = 229,008.08

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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.