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Finding the Fourth Proportional to 279,991.10, 419,111.85 and 201,259.10

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Solution

The fourth proportional to 279,991.10, 419,111.85 and 201,259.10 is: 301,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,991.10 : 419,111.85 = 201,259.10 : x
  2. Step 2: Convert to fraction form
    279,991.10/419,111.85 = 201,259.10/x
  3. Step 3: Cross multiply
    279,991.10x = 419,111.85 × 201,259.10
  4. Step 4: Simplify right side
    279,991.10x = 84,350,073,730.34
  5. Step 5: Solve for x
    x = 84,350,073,730.34/279,991.10
  6. Step 6: Final answer
    x = 301,259.84

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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.