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Finding the Fourth Proportional to 231,403.64, 347,105.46 and 120,811.64

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Solution

The fourth proportional to 231,403.64, 347,105.46 and 120,811.64 is: 181,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,403.64 : 347,105.46 = 120,811.64 : x
  2. Step 2: Convert to fraction form
    231,403.64/347,105.46 = 120,811.64/x
  3. Step 3: Cross multiply
    231,403.64x = 347,105.46 × 120,811.64
  4. Step 4: Simplify right side
    231,403.64x = 41,934,379,875.55
  5. Step 5: Solve for x
    x = 41,934,379,875.55/231,403.64
  6. Step 6: Final answer
    x = 181,217.46

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1.5x scale

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.