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Finding the Fourth Proportional to 522,858, 721,544.68 and 284,394

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Solution

The fourth proportional to 522,858, 721,544.68 and 284,394 is: 392,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,858 : 721,544.68 = 284,394 : x
  2. Step 2: Convert to fraction form
    522,858/721,544.68 = 284,394/x
  3. Step 3: Cross multiply
    522,858x = 721,544.68 × 284,394
  4. Step 4: Simplify right side
    522,858x = 205,202,977,723.92
  5. Step 5: Solve for x
    x = 205,202,977,723.92/522,858
  6. Step 6: Final answer
    x = 392,464.07

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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.