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Finding the Fourth Proportional to 667,403.82, 921,012.54 and 361,473.18

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Solution

The fourth proportional to 667,403.82, 921,012.54 and 361,473.18 is: 498,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,403.82 : 921,012.54 = 361,473.18 : x
  2. Step 2: Convert to fraction form
    667,403.82/921,012.54 = 361,473.18/x
  3. Step 3: Cross multiply
    667,403.82x = 921,012.54 × 361,473.18
  4. Step 4: Simplify right side
    667,403.82x = 332,921,331,653.68
  5. Step 5: Solve for x
    x = 332,921,331,653.68/667,403.82
  6. Step 6: Final answer
    x = 498,830.43

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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.