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Finding the Fourth Proportional to 521,415.73, 783,433.82 and 331,960.68

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Solution

The fourth proportional to 521,415.73, 783,433.82 and 331,960.68 is: 498,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,415.73 : 783,433.82 = 331,960.68 : x
  2. Step 2: Convert to fraction form
    521,415.73/783,433.82 = 331,960.68/x
  3. Step 3: Cross multiply
    521,415.73x = 783,433.82 × 331,960.68
  4. Step 4: Simplify right side
    521,415.73x = 260,069,224,452.10
  5. Step 5: Solve for x
    x = 260,069,224,452.10/521,415.73
  6. Step 6: Final answer
    x = 498,775.18

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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.