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Finding the Fourth Proportional to 378,167.64, 521,882.28 and 208,412.70

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Solution

The fourth proportional to 378,167.64, 521,882.28 and 208,412.70 is: 287,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,167.64 : 521,882.28 = 208,412.70 : x
  2. Step 2: Convert to fraction form
    378,167.64/521,882.28 = 208,412.70/x
  3. Step 3: Cross multiply
    378,167.64x = 521,882.28 × 208,412.70
  4. Step 4: Simplify right side
    378,167.64x = 108,766,895,056.96
  5. Step 5: Solve for x
    x = 108,766,895,056.96/378,167.64
  6. Step 6: Final answer
    x = 287,615.55

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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.