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Finding the Fourth Proportional to 279,057.60, 418,327.20 and 194,817.60

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Solution

The fourth proportional to 279,057.60, 418,327.20 and 194,817.60 is: 292,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,057.60 : 418,327.20 = 194,817.60 : x
  2. Step 2: Convert to fraction form
    279,057.60/418,327.20 = 194,817.60/x
  3. Step 3: Cross multiply
    279,057.60x = 418,327.20 × 194,817.60
  4. Step 4: Simplify right side
    279,057.60x = 81,497,501,118.72
  5. Step 5: Solve for x
    x = 81,497,501,118.72/279,057.60
  6. Step 6: Final answer
    x = 292,045.45

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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.