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Finding the Fourth Proportional to 397,149.85, 548,064.23 and 227,416.78

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Solution

The fourth proportional to 397,149.85, 548,064.23 and 227,416.78 is: 313,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,149.85 : 548,064.23 = 227,416.78 : x
  2. Step 2: Convert to fraction form
    397,149.85/548,064.23 = 227,416.78/x
  3. Step 3: Cross multiply
    397,149.85x = 548,064.23 × 227,416.78
  4. Step 4: Simplify right side
    397,149.85x = 124,639,001,967.78
  5. Step 5: Solve for x
    x = 124,639,001,967.78/397,149.85
  6. Step 6: Final answer
    x = 313,833.69

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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.