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Finding the Fourth Proportional to 279,997.60, 419,996.40 and 174,875.80

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Solution

The fourth proportional to 279,997.60, 419,996.40 and 174,875.80 is: 262,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,997.60 : 419,996.40 = 174,875.80 : x
  2. Step 2: Convert to fraction form
    279,997.60/419,996.40 = 174,875.80/x
  3. Step 3: Cross multiply
    279,997.60x = 419,996.40 × 174,875.80
  4. Step 4: Simplify right side
    279,997.60x = 73,447,206,447.12
  5. Step 5: Solve for x
    x = 73,447,206,447.12/279,997.60
  6. Step 6: Final answer
    x = 262,313.70

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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.