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Finding the Fourth Proportional to 285,980.82, 394,621.89 and 158,624.66

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Solution

The fourth proportional to 285,980.82, 394,621.89 and 158,624.66 is: 218,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,980.82 : 394,621.89 = 158,624.66 : x
  2. Step 2: Convert to fraction form
    285,980.82/394,621.89 = 158,624.66/x
  3. Step 3: Cross multiply
    285,980.82x = 394,621.89 × 158,624.66
  4. Step 4: Simplify right side
    285,980.82x = 62,596,763,129.81
  5. Step 5: Solve for x
    x = 62,596,763,129.81/285,980.82
  6. Step 6: Final answer
    x = 218,884.48

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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.