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Finding the Fourth Proportional to 487,147.44, 731,383.81 and 274,065.30

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Solution

The fourth proportional to 487,147.44, 731,383.81 and 274,065.30 is: 411,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,147.44 : 731,383.81 = 274,065.30 : x
  2. Step 2: Convert to fraction form
    487,147.44/731,383.81 = 274,065.30/x
  3. Step 3: Cross multiply
    487,147.44x = 731,383.81 × 274,065.30
  4. Step 4: Simplify right side
    487,147.44x = 200,446,922,617.63
  5. Step 5: Solve for x
    x = 200,446,922,617.63/487,147.44
  6. Step 6: Final answer
    x = 411,470.75

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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.