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Finding the Fourth Proportional to 351,309.75, 484,873.13 and 200,406.75

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Solution

The fourth proportional to 351,309.75, 484,873.13 and 200,406.75 is: 276,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,309.75 : 484,873.13 = 200,406.75 : x
  2. Step 2: Convert to fraction form
    351,309.75/484,873.13 = 200,406.75/x
  3. Step 3: Cross multiply
    351,309.75x = 484,873.13 × 200,406.75
  4. Step 4: Simplify right side
    351,309.75x = 97,171,848,646.64
  5. Step 5: Solve for x
    x = 97,171,848,646.64/351,309.75
  6. Step 6: Final answer
    x = 276,598.78

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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.