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Finding the Fourth Proportional to 378,167.63, 521,871.32 and 208,401.75

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Solution

The fourth proportional to 378,167.63, 521,871.32 and 208,401.75 is: 287,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,167.63 : 521,871.32 = 208,401.75 : x
  2. Step 2: Convert to fraction form
    378,167.63/521,871.32 = 208,401.75/x
  3. Step 3: Cross multiply
    378,167.63x = 521,871.32 × 208,401.75
  4. Step 4: Simplify right side
    378,167.63x = 108,758,896,362.81
  5. Step 5: Solve for x
    x = 108,758,896,362.81/378,167.63
  6. Step 6: Final answer
    x = 287,594.41

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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.