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Finding the Fourth Proportional to 522,858.38, 721,544.50 and 296,503.88

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Solution

The fourth proportional to 522,858.38, 721,544.50 and 296,503.88 is: 409,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,858.38 : 721,544.50 = 296,503.88 : x
  2. Step 2: Convert to fraction form
    522,858.38/721,544.50 = 296,503.88/x
  3. Step 3: Cross multiply
    522,858.38x = 721,544.50 × 296,503.88
  4. Step 4: Simplify right side
    522,858.38x = 213,940,743,842.66
  5. Step 5: Solve for x
    x = 213,940,743,842.66/522,858.38
  6. Step 6: Final answer
    x = 409,175.32

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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.