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Finding the Fourth Proportional to 385,794.86, 578,687.96 and 136,418.54

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Solution

The fourth proportional to 385,794.86, 578,687.96 and 136,418.54 is: 204,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,794.86 : 578,687.96 = 136,418.54 : x
  2. Step 2: Convert to fraction form
    385,794.86/578,687.96 = 136,418.54/x
  3. Step 3: Cross multiply
    385,794.86x = 578,687.96 × 136,418.54
  4. Step 4: Simplify right side
    385,794.86x = 78,943,766,618.78
  5. Step 5: Solve for x
    x = 78,943,766,618.78/385,794.86
  6. Step 6: Final answer
    x = 204,626.28

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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.