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Finding the Fourth Proportional to 285,665.84, 394,212.48 and 158,340.32

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Solution

The fourth proportional to 285,665.84, 394,212.48 and 158,340.32 is: 218,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,665.84 : 394,212.48 = 158,340.32 : x
  2. Step 2: Convert to fraction form
    285,665.84/394,212.48 = 158,340.32/x
  3. Step 3: Cross multiply
    285,665.84x = 394,212.48 × 158,340.32
  4. Step 4: Simplify right side
    285,665.84x = 62,419,730,231.19
  5. Step 5: Solve for x
    x = 62,419,730,231.19/285,665.84
  6. Step 6: Final answer
    x = 218,506.11

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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.