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Finding the Fourth Proportional to 392,464.64, 541,606.86 and 220,419.83

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Solution

The fourth proportional to 392,464.64, 541,606.86 and 220,419.83 is: 304,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,464.64 : 541,606.86 = 220,419.83 : x
  2. Step 2: Convert to fraction form
    392,464.64/541,606.86 = 220,419.83/x
  3. Step 3: Cross multiply
    392,464.64x = 541,606.86 × 220,419.83
  4. Step 4: Simplify right side
    392,464.64x = 119,380,889,300.00
  5. Step 5: Solve for x
    x = 119,380,889,300.00/392,464.64
  6. Step 6: Final answer
    x = 304,182.54

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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.