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Finding the Fourth Proportional to 279,813.40, 419,720.10 and 201,664.60

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Solution

The fourth proportional to 279,813.40, 419,720.10 and 201,664.60 is: 302,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,813.40 : 419,720.10 = 201,664.60 : x
  2. Step 2: Convert to fraction form
    279,813.40/419,720.10 = 201,664.60/x
  3. Step 3: Cross multiply
    279,813.40x = 419,720.10 × 201,664.60
  4. Step 4: Simplify right side
    279,813.40x = 84,642,686,078.46
  5. Step 5: Solve for x
    x = 84,642,686,078.46/279,813.40
  6. Step 6: Final answer
    x = 302,496.90

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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.