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Finding the Fourth Proportional to 285,617.88, 394,047.18 and 170,899.20

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Solution

The fourth proportional to 285,617.88, 394,047.18 and 170,899.20 is: 235,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,617.88 : 394,047.18 = 170,899.20 : x
  2. Step 2: Convert to fraction form
    285,617.88/394,047.18 = 170,899.20/x
  3. Step 3: Cross multiply
    285,617.88x = 394,047.18 × 170,899.20
  4. Step 4: Simplify right side
    285,617.88x = 67,342,347,824.26
  5. Step 5: Solve for x
    x = 67,342,347,824.26/285,617.88
  6. Step 6: Final answer
    x = 235,777.77

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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.