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Finding the Fourth Proportional to 279,710.23, 419,381.52 and 135,577.90

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Solution

The fourth proportional to 279,710.23, 419,381.52 and 135,577.90 is: 203,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,710.23 : 419,381.52 = 135,577.90 : x
  2. Step 2: Convert to fraction form
    279,710.23/419,381.52 = 135,577.90/x
  3. Step 3: Cross multiply
    279,710.23x = 419,381.52 × 135,577.90
  4. Step 4: Simplify right side
    279,710.23x = 56,858,865,780.41
  5. Step 5: Solve for x
    x = 56,858,865,780.41/279,710.23
  6. Step 6: Final answer
    x = 203,277.75

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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.