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Finding the Fourth Proportional to 291,230.13, 401,743.44 and 200,428.45

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Solution

The fourth proportional to 291,230.13, 401,743.44 and 200,428.45 is: 276,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,230.13 : 401,743.44 = 200,428.45 : x
  2. Step 2: Convert to fraction form
    291,230.13/401,743.44 = 200,428.45/x
  3. Step 3: Cross multiply
    291,230.13x = 401,743.44 × 200,428.45
  4. Step 4: Simplify right side
    291,230.13x = 80,520,814,976.87
  5. Step 5: Solve for x
    x = 80,520,814,976.87/291,230.13
  6. Step 6: Final answer
    x = 276,485.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.