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Finding the Fourth Proportional to 471,691.35, 707,828.63 and 191,211.03

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Solution

The fourth proportional to 471,691.35, 707,828.63 and 191,211.03 is: 286,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,691.35 : 707,828.63 = 191,211.03 : x
  2. Step 2: Convert to fraction form
    471,691.35/707,828.63 = 191,211.03/x
  3. Step 3: Cross multiply
    471,691.35x = 707,828.63 × 191,211.03
  4. Step 4: Simplify right side
    471,691.35x = 135,344,640,449.73
  5. Step 5: Solve for x
    x = 135,344,640,449.73/471,691.35
  6. Step 6: Final answer
    x = 286,934.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.