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Finding the Fourth Proportional to 378,679.95, 522,578.28 and 208,914.06

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Solution

The fourth proportional to 378,679.95, 522,578.28 and 208,914.06 is: 288,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,679.95 : 522,578.28 = 208,914.06 : x
  2. Step 2: Convert to fraction form
    378,679.95/522,578.28 = 208,914.06/x
  3. Step 3: Cross multiply
    378,679.95x = 522,578.28 × 208,914.06
  4. Step 4: Simplify right side
    378,679.95x = 109,173,950,142.62
  5. Step 5: Solve for x
    x = 109,173,950,142.62/378,679.95
  6. Step 6: Final answer
    x = 288,301.37

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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.