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Finding the Fourth Proportional to 438,067.60, 656,323.80 and 271,661.20

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Solution

The fourth proportional to 438,067.60, 656,323.80 and 271,661.20 is: 407,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,067.60 : 656,323.80 = 271,661.20 : x
  2. Step 2: Convert to fraction form
    438,067.60/656,323.80 = 271,661.20/x
  3. Step 3: Cross multiply
    438,067.60x = 656,323.80 × 271,661.20
  4. Step 4: Simplify right side
    438,067.60x = 178,297,711,096.56
  5. Step 5: Solve for x
    x = 178,297,711,096.56/438,067.60
  6. Step 6: Final answer
    x = 407,009.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.