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Finding the Fourth Proportional to 378,157.64, 521,855.04 and 208,391.90

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Solution

The fourth proportional to 378,157.64, 521,855.04 and 208,391.90 is: 287,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,157.64 : 521,855.04 = 208,391.90 : x
  2. Step 2: Convert to fraction form
    378,157.64/521,855.04 = 208,391.90/x
  3. Step 3: Cross multiply
    378,157.64x = 521,855.04 × 208,391.90
  4. Step 4: Simplify right side
    378,157.64x = 108,750,363,310.18
  5. Step 5: Solve for x
    x = 108,750,363,310.18/378,157.64
  6. Step 6: Final answer
    x = 287,579.44

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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.