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Finding the Fourth Proportional to 667,006.34, 920,467.77 and 361,081.22

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Solution

The fourth proportional to 667,006.34, 920,467.77 and 361,081.22 is: 498,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,006.34 : 920,467.77 = 361,081.22 : x
  2. Step 2: Convert to fraction form
    667,006.34/920,467.77 = 361,081.22/x
  3. Step 3: Cross multiply
    667,006.34x = 920,467.77 × 361,081.22
  4. Step 4: Simplify right side
    667,006.34x = 332,363,625,362.28
  5. Step 5: Solve for x
    x = 332,363,625,362.28/667,006.34
  6. Step 6: Final answer
    x = 498,291.55

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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.