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Finding the Fourth Proportional to 762,534, 1,143,801 and 263,898

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Solution

The fourth proportional to 762,534, 1,143,801 and 263,898 is: 395,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,534 : 1,143,801 = 263,898 : x
  2. Step 2: Convert to fraction form
    762,534/1,143,801 = 263,898/x
  3. Step 3: Cross multiply
    762,534x = 1,143,801 × 263,898
  4. Step 4: Simplify right side
    762,534x = 301,846,796,298
  5. Step 5: Solve for x
    x = 301,846,796,298/762,534
  6. Step 6: Final answer
    x = 395,847

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.