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Finding the Fourth Proportional to 286,475.80, 395,346.92 and 165,655

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Solution

The fourth proportional to 286,475.80, 395,346.92 and 165,655 is: 228,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,475.80 : 395,346.92 = 165,655 : x
  2. Step 2: Convert to fraction form
    286,475.80/395,346.92 = 165,655/x
  3. Step 3: Cross multiply
    286,475.80x = 395,346.92 × 165,655
  4. Step 4: Simplify right side
    286,475.80x = 65,491,194,032.60
  5. Step 5: Solve for x
    x = 65,491,194,032.60/286,475.80
  6. Step 6: Final answer
    x = 228,609.87

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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.