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Finding the Fourth Proportional to 279,740.80, 419,610.82 and 129,899.15

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Solution

The fourth proportional to 279,740.80, 419,610.82 and 129,899.15 is: 194,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,740.80 : 419,610.82 = 129,899.15 : x
  2. Step 2: Convert to fraction form
    279,740.80/419,610.82 = 129,899.15/x
  3. Step 3: Cross multiply
    279,740.80x = 419,610.82 × 129,899.15
  4. Step 4: Simplify right side
    279,740.80x = 54,507,088,199.31
  5. Step 5: Solve for x
    x = 54,507,088,199.31/279,740.80
  6. Step 6: Final answer
    x = 194,848.55

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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.