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Finding the Fourth Proportional to 667,835.82, 921,707.91 and 413,269.02

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Solution

The fourth proportional to 667,835.82, 921,707.91 and 413,269.02 is: 570,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,835.82 : 921,707.91 = 413,269.02 : x
  2. Step 2: Convert to fraction form
    667,835.82/921,707.91 = 413,269.02/x
  3. Step 3: Cross multiply
    667,835.82x = 921,707.91 × 413,269.02
  4. Step 4: Simplify right side
    667,835.82x = 380,913,324,691.95
  5. Step 5: Solve for x
    x = 380,913,324,691.95/667,835.82
  6. Step 6: Final answer
    x = 570,369.71

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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.