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Finding the Fourth Proportional to 378,184.77, 521,894.97 and 208,418.90

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Solution

The fourth proportional to 378,184.77, 521,894.97 and 208,418.90 is: 287,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,184.77 : 521,894.97 = 208,418.90 : x
  2. Step 2: Convert to fraction form
    378,184.77/521,894.97 = 208,418.90/x
  3. Step 3: Cross multiply
    378,184.77x = 521,894.97 × 208,418.90
  4. Step 4: Simplify right side
    378,184.77x = 108,772,772,953.46
  5. Step 5: Solve for x
    x = 108,772,772,953.46/378,184.77
  6. Step 6: Final answer
    x = 287,618.07

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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.