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Finding the Fourth Proportional to 279,433.40, 419,150.10 and 201,284.60

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Solution

The fourth proportional to 279,433.40, 419,150.10 and 201,284.60 is: 301,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,433.40 : 419,150.10 = 201,284.60 : x
  2. Step 2: Convert to fraction form
    279,433.40/419,150.10 = 201,284.60/x
  3. Step 3: Cross multiply
    279,433.40x = 419,150.10 × 201,284.60
  4. Step 4: Simplify right side
    279,433.40x = 84,368,460,218.46
  5. Step 5: Solve for x
    x = 84,368,460,218.46/279,433.40
  6. Step 6: Final answer
    x = 301,926.90

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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.