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Finding the Fourth Proportional to 285,297.25, 393,705.39 and 157,970.11

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Solution

The fourth proportional to 285,297.25, 393,705.39 and 157,970.11 is: 217,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,297.25 : 393,705.39 = 157,970.11 : x
  2. Step 2: Convert to fraction form
    285,297.25/393,705.39 = 157,970.11/x
  3. Step 3: Cross multiply
    285,297.25x = 393,705.39 × 157,970.11
  4. Step 4: Simplify right side
    285,297.25x = 62,193,683,765.89
  5. Step 5: Solve for x
    x = 62,193,683,765.89/285,297.25
  6. Step 6: Final answer
    x = 217,996.09

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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.