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Finding the Fourth Proportional to 285,505.96, 393,993.12 and 158,179

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Solution

The fourth proportional to 285,505.96, 393,993.12 and 158,179 is: 218,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,505.96 : 393,993.12 = 158,179 : x
  2. Step 2: Convert to fraction form
    285,505.96/393,993.12 = 158,179/x
  3. Step 3: Cross multiply
    285,505.96x = 393,993.12 × 158,179
  4. Step 4: Simplify right side
    285,505.96x = 62,321,437,728.48
  5. Step 5: Solve for x
    x = 62,321,437,728.48/285,505.96
  6. Step 6: Final answer
    x = 218,284.19

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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.