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Finding the Fourth Proportional to 667,064.98, 920,550.03 and 361,141.43

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Solution

The fourth proportional to 667,064.98, 920,550.03 and 361,141.43 is: 498,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,064.98 : 920,550.03 = 361,141.43 : x
  2. Step 2: Convert to fraction form
    667,064.98/920,550.03 = 361,141.43/x
  3. Step 3: Cross multiply
    667,064.98x = 920,550.03 × 361,141.43
  4. Step 4: Simplify right side
    667,064.98x = 332,448,748,263.71
  5. Step 5: Solve for x
    x = 332,448,748,263.71/667,064.98
  6. Step 6: Final answer
    x = 498,375.36

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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.