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Finding the Fourth Proportional to 285,883.64, 394,505.15 and 165,017.72

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Solution

The fourth proportional to 285,883.64, 394,505.15 and 165,017.72 is: 227,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,883.64 : 394,505.15 = 165,017.72 : x
  2. Step 2: Convert to fraction form
    285,883.64/394,505.15 = 165,017.72/x
  3. Step 3: Cross multiply
    285,883.64x = 394,505.15 × 165,017.72
  4. Step 4: Simplify right side
    285,883.64x = 65,100,341,470.66
  5. Step 5: Solve for x
    x = 65,100,341,470.66/285,883.64
  6. Step 6: Final answer
    x = 227,716.22

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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.