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Finding the Fourth Proportional to 400,544.02, 600,914.31 and 120,061

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Solution

The fourth proportional to 400,544.02, 600,914.31 and 120,061 is: 180,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,544.02 : 600,914.31 = 120,061 : x
  2. Step 2: Convert to fraction form
    400,544.02/600,914.31 = 120,061/x
  3. Step 3: Cross multiply
    400,544.02x = 600,914.31 × 120,061
  4. Step 4: Simplify right side
    400,544.02x = 72,146,372,972.91
  5. Step 5: Solve for x
    x = 72,146,372,972.91/400,544.02
  6. Step 6: Final answer
    x = 180,120.96

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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.