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Finding the Fourth Proportional to 422,666.57, 583,286.92 and 229,080.47

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Solution

The fourth proportional to 422,666.57, 583,286.92 and 229,080.47 is: 316,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,666.57 : 583,286.92 = 229,080.47 : x
  2. Step 2: Convert to fraction form
    422,666.57/583,286.92 = 229,080.47/x
  3. Step 3: Cross multiply
    422,666.57x = 583,286.92 × 229,080.47
  4. Step 4: Simplify right side
    422,666.57x = 133,619,642,858.88
  5. Step 5: Solve for x
    x = 133,619,642,858.88/422,666.57
  6. Step 6: Final answer
    x = 316,134.87

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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.