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Finding the Fourth Proportional to 279,027.54, 384,374.46 and 202,321.20

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Solution

The fourth proportional to 279,027.54, 384,374.46 and 202,321.20 is: 278,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,027.54 : 384,374.46 = 202,321.20 : x
  2. Step 2: Convert to fraction form
    279,027.54/384,374.46 = 202,321.20/x
  3. Step 3: Cross multiply
    279,027.54x = 384,374.46 × 202,321.20
  4. Step 4: Simplify right side
    279,027.54x = 77,767,101,996.55
  5. Step 5: Solve for x
    x = 77,767,101,996.55/279,027.54
  6. Step 6: Final answer
    x = 278,707.62

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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.