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Finding the Fourth Proportional to 311,840.67, 430,406.89 and 197,046.44

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Solution

The fourth proportional to 311,840.67, 430,406.89 and 197,046.44 is: 271,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,840.67 : 430,406.89 = 197,046.44 : x
  2. Step 2: Convert to fraction form
    311,840.67/430,406.89 = 197,046.44/x
  3. Step 3: Cross multiply
    311,840.67x = 430,406.89 × 197,046.44
  4. Step 4: Simplify right side
    311,840.67x = 84,810,142,781.32
  5. Step 5: Solve for x
    x = 84,810,142,781.32/311,840.67
  6. Step 6: Final answer
    x = 271,966.27

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1.5x scale

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.