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Finding the Fourth Proportional to 378,167.25, 521,870.81 and 208,401.38

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Solution

The fourth proportional to 378,167.25, 521,870.81 and 208,401.38 is: 287,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,167.25 : 521,870.81 = 208,401.38 : x
  2. Step 2: Convert to fraction form
    378,167.25/521,870.81 = 208,401.38/x
  3. Step 3: Cross multiply
    378,167.25x = 521,870.81 × 208,401.38
  4. Step 4: Simplify right side
    378,167.25x = 108,758,593,334.36
  5. Step 5: Solve for x
    x = 108,758,593,334.36/378,167.25
  6. Step 6: Final answer
    x = 287,593.90

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1.5x scale

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.