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Finding the Fourth Proportional to 400,872.96, 601,358.91 and 130,994.73

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Solution

The fourth proportional to 400,872.96, 601,358.91 and 130,994.73 is: 196,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,872.96 : 601,358.91 = 130,994.73 : x
  2. Step 2: Convert to fraction form
    400,872.96/601,358.91 = 130,994.73/x
  3. Step 3: Cross multiply
    400,872.96x = 601,358.91 × 130,994.73
  4. Step 4: Simplify right side
    400,872.96x = 78,774,848,048.54
  5. Step 5: Solve for x
    x = 78,774,848,048.54/400,872.96
  6. Step 6: Final answer
    x = 196,508.26

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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.