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Finding the Fourth Proportional to 400,875.96, 601,363.38 and 130,997.70

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Solution

The fourth proportional to 400,875.96, 601,363.38 and 130,997.70 is: 196,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,875.96 : 601,363.38 = 130,997.70 : x
  2. Step 2: Convert to fraction form
    400,875.96/601,363.38 = 130,997.70/x
  3. Step 3: Cross multiply
    400,875.96x = 601,363.38 × 130,997.70
  4. Step 4: Simplify right side
    400,875.96x = 78,777,219,644.23
  5. Step 5: Solve for x
    x = 78,777,219,644.23/400,875.96
  6. Step 6: Final answer
    x = 196,512.71

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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.