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Finding the Fourth Proportional to 481,159.12, 721,262.40 and 227,992

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Solution

The fourth proportional to 481,159.12, 721,262.40 and 227,992 is: 341,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,159.12 : 721,262.40 = 227,992 : x
  2. Step 2: Convert to fraction form
    481,159.12/721,262.40 = 227,992/x
  3. Step 3: Cross multiply
    481,159.12x = 721,262.40 × 227,992
  4. Step 4: Simplify right side
    481,159.12x = 164,442,057,100.80
  5. Step 5: Solve for x
    x = 164,442,057,100.80/481,159.12
  6. Step 6: Final answer
    x = 341,762.32

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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.