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Finding the Fourth Proportional to 392,594.60, 541,739.86 and 220,531.88

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Solution

The fourth proportional to 392,594.60, 541,739.86 and 220,531.88 is: 304,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,594.60 : 541,739.86 = 220,531.88 : x
  2. Step 2: Convert to fraction form
    392,594.60/541,739.86 = 220,531.88/x
  3. Step 3: Cross multiply
    392,594.60x = 541,739.86 × 220,531.88
  4. Step 4: Simplify right side
    392,594.60x = 119,470,909,796.74
  5. Step 5: Solve for x
    x = 119,470,909,796.74/392,594.60
  6. Step 6: Final answer
    x = 304,311.14

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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.