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Finding the Fourth Proportional to 385,552.90, 578,450.33 and 231,855.78

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Solution

The fourth proportional to 385,552.90, 578,450.33 and 231,855.78 is: 347,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,552.90 : 578,450.33 = 231,855.78 : x
  2. Step 2: Convert to fraction form
    385,552.90/578,450.33 = 231,855.78/x
  3. Step 3: Cross multiply
    385,552.90x = 578,450.33 × 231,855.78
  4. Step 4: Simplify right side
    385,552.90x = 134,117,052,453.41
  5. Step 5: Solve for x
    x = 134,117,052,453.41/385,552.90
  6. Step 6: Final answer
    x = 347,856.42

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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.