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Finding the Fourth Proportional to 377,832.66, 521,412.60 and 208,068

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Solution

The fourth proportional to 377,832.66, 521,412.60 and 208,068 is: 287,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,832.66 : 521,412.60 = 208,068 : x
  2. Step 2: Convert to fraction form
    377,832.66/521,412.60 = 208,068/x
  3. Step 3: Cross multiply
    377,832.66x = 521,412.60 × 208,068
  4. Step 4: Simplify right side
    377,832.66x = 108,489,276,856.80
  5. Step 5: Solve for x
    x = 108,489,276,856.80/377,832.66
  6. Step 6: Final answer
    x = 287,135.78

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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.