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Finding the Fourth Proportional to 331,978.74, 458,166.14 and 202,992.81

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Solution

The fourth proportional to 331,978.74, 458,166.14 and 202,992.81 is: 280,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,978.74 : 458,166.14 = 202,992.81 : x
  2. Step 2: Convert to fraction form
    331,978.74/458,166.14 = 202,992.81/x
  3. Step 3: Cross multiply
    331,978.74x = 458,166.14 × 202,992.81
  4. Step 4: Simplify right side
    331,978.74x = 93,004,431,190.49
  5. Step 5: Solve for x
    x = 93,004,431,190.49/331,978.74
  6. Step 6: Final answer
    x = 280,151.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.