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Finding the Fourth Proportional to 378,157.63, 521,855.04 and 208,391.89

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Solution

The fourth proportional to 378,157.63, 521,855.04 and 208,391.89 is: 287,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,157.63 : 521,855.04 = 208,391.89 : x
  2. Step 2: Convert to fraction form
    378,157.63/521,855.04 = 208,391.89/x
  3. Step 3: Cross multiply
    378,157.63x = 521,855.04 × 208,391.89
  4. Step 4: Simplify right side
    378,157.63x = 108,750,358,091.63
  5. Step 5: Solve for x
    x = 108,750,358,091.63/378,157.63
  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.