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Finding the Fourth Proportional to 378,157.58, 521,832.72 and 208,391.66

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Solution

The fourth proportional to 378,157.58, 521,832.72 and 208,391.66 is: 287,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,157.58 : 521,832.72 = 208,391.66 : x
  2. Step 2: Convert to fraction form
    378,157.58/521,832.72 = 208,391.66/x
  3. Step 3: Cross multiply
    378,157.58x = 521,832.72 × 208,391.66
  4. Step 4: Simplify right side
    378,157.58x = 108,745,586,763.12
  5. Step 5: Solve for x
    x = 108,745,586,763.12/378,157.58
  6. Step 6: Final answer
    x = 287,566.86

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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.