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Finding the Fourth Proportional to 412,773.30, 619,054.65 and 128,408.22

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Solution

The fourth proportional to 412,773.30, 619,054.65 and 128,408.22 is: 192,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,773.30 : 619,054.65 = 128,408.22 : x
  2. Step 2: Convert to fraction form
    412,773.30/619,054.65 = 128,408.22/x
  3. Step 3: Cross multiply
    412,773.30x = 619,054.65 × 128,408.22
  4. Step 4: Simplify right side
    412,773.30x = 79,491,705,689.22
  5. Step 5: Solve for x
    x = 79,491,705,689.22/412,773.30
  6. Step 6: Final answer
    x = 192,579.57

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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.