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Finding the Fourth Proportional to 285,506.96, 393,994.50 and 158,180

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Solution

The fourth proportional to 285,506.96, 393,994.50 and 158,180 is: 218,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,506.96 : 393,994.50 = 158,180 : x
  2. Step 2: Convert to fraction form
    285,506.96/393,994.50 = 158,180/x
  3. Step 3: Cross multiply
    285,506.96x = 393,994.50 × 158,180
  4. Step 4: Simplify right side
    285,506.96x = 62,322,050,010
  5. Step 5: Solve for x
    x = 62,322,050,010/285,506.96
  6. Step 6: Final answer
    x = 218,285.57

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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.