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Finding the Fourth Proportional to 471,149.73, 704,941.17 and 279,127.25

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Solution

The fourth proportional to 471,149.73, 704,941.17 and 279,127.25 is: 417,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,149.73 : 704,941.17 = 279,127.25 : x
  2. Step 2: Convert to fraction form
    471,149.73/704,941.17 = 279,127.25/x
  3. Step 3: Cross multiply
    471,149.73x = 704,941.17 × 279,127.25
  4. Step 4: Simplify right side
    471,149.73x = 196,768,286,669.18
  5. Step 5: Solve for x
    x = 196,768,286,669.18/471,149.73
  6. Step 6: Final answer
    x = 417,634.30

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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.