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Finding the Fourth Proportional to 357,945.75, 493,954.61 and 204,978.87

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Solution

The fourth proportional to 357,945.75, 493,954.61 and 204,978.87 is: 282,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,945.75 : 493,954.61 = 204,978.87 : x
  2. Step 2: Convert to fraction form
    357,945.75/493,954.61 = 204,978.87/x
  3. Step 3: Cross multiply
    357,945.75x = 493,954.61 × 204,978.87
  4. Step 4: Simplify right side
    357,945.75x = 101,250,256,764.20
  5. Step 5: Solve for x
    x = 101,250,256,764.20/357,945.75
  6. Step 6: Final answer
    x = 282,864.81

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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.