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Finding the Fourth Proportional to 488,272, 673,758.64 and 284,367.48

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Solution

The fourth proportional to 488,272, 673,758.64 and 284,367.48 is: 392,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,272 : 673,758.64 = 284,367.48 : x
  2. Step 2: Convert to fraction form
    488,272/673,758.64 = 284,367.48/x
  3. Step 3: Cross multiply
    488,272x = 673,758.64 × 284,367.48
  4. Step 4: Simplify right side
    488,272x = 191,595,046,585.03
  5. Step 5: Solve for x
    x = 191,595,046,585.03/488,272
  6. Step 6: Final answer
    x = 392,394.09

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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.