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Finding the Fourth Proportional to 356,408.74, 491,441.07 and 227,174.86

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Solution

The fourth proportional to 356,408.74, 491,441.07 and 227,174.86 is: 313,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,408.74 : 491,441.07 = 227,174.86 : x
  2. Step 2: Convert to fraction form
    356,408.74/491,441.07 = 227,174.86/x
  3. Step 3: Cross multiply
    356,408.74x = 491,441.07 × 227,174.86
  4. Step 4: Simplify right side
    356,408.74x = 111,643,056,275.50
  5. Step 5: Solve for x
    x = 111,643,056,275.50/356,408.74
  6. Step 6: Final answer
    x = 313,244.44

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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.