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Finding the Fourth Proportional to 400,816.20, 601,613.10 and 201,361.80

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Solution

The fourth proportional to 400,816.20, 601,613.10 and 201,361.80 is: 302,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,816.20 : 601,613.10 = 201,361.80 : x
  2. Step 2: Convert to fraction form
    400,816.20/601,613.10 = 201,361.80/x
  3. Step 3: Cross multiply
    400,816.20x = 601,613.10 × 201,361.80
  4. Step 4: Simplify right side
    400,816.20x = 121,141,896,719.58
  5. Step 5: Solve for x
    x = 121,141,896,719.58/400,816.20
  6. Step 6: Final answer
    x = 302,238.03

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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.