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Finding the Fourth Proportional to 400,976.81, 601,380.31 and 238,942.58

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Solution

The fourth proportional to 400,976.81, 601,380.31 and 238,942.58 is: 358,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,976.81 : 601,380.31 = 238,942.58 : x
  2. Step 2: Convert to fraction form
    400,976.81/601,380.31 = 238,942.58/x
  3. Step 3: Cross multiply
    400,976.81x = 601,380.31 × 238,942.58
  4. Step 4: Simplify right side
    400,976.81x = 143,695,362,832.60
  5. Step 5: Solve for x
    x = 143,695,362,832.60/400,976.81
  6. Step 6: Final answer
    x = 358,363.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.