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Finding the Fourth Proportional to 378,550.26, 567,767.22 and 138,607.66

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Solution

The fourth proportional to 378,550.26, 567,767.22 and 138,607.66 is: 207,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,550.26 : 567,767.22 = 138,607.66 : x
  2. Step 2: Convert to fraction form
    378,550.26/567,767.22 = 138,607.66/x
  3. Step 3: Cross multiply
    378,550.26x = 567,767.22 × 138,607.66
  4. Step 4: Simplify right side
    378,550.26x = 78,696,883,564.81
  5. Step 5: Solve for x
    x = 78,696,883,564.81/378,550.26
  6. Step 6: Final answer
    x = 207,890.18

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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.