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Finding the Fourth Proportional to 665,299.72, 996,767.34 and 380,978.92

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Solution

The fourth proportional to 665,299.72, 996,767.34 and 380,978.92 is: 570,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,299.72 : 996,767.34 = 380,978.92 : x
  2. Step 2: Convert to fraction form
    665,299.72/996,767.34 = 380,978.92/x
  3. Step 3: Cross multiply
    665,299.72x = 996,767.34 × 380,978.92
  4. Step 4: Simplify right side
    665,299.72x = 379,747,344,684.47
  5. Step 5: Solve for x
    x = 379,747,344,684.47/665,299.72
  6. Step 6: Final answer
    x = 570,791.38

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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.