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Finding the Fourth Proportional to 385,721.12, 532,249.64 and 222,375.80

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Solution

The fourth proportional to 385,721.12, 532,249.64 and 222,375.80 is: 306,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,721.12 : 532,249.64 = 222,375.80 : x
  2. Step 2: Convert to fraction form
    385,721.12/532,249.64 = 222,375.80/x
  3. Step 3: Cross multiply
    385,721.12x = 532,249.64 × 222,375.80
  4. Step 4: Simplify right side
    385,721.12x = 118,359,439,494.71
  5. Step 5: Solve for x
    x = 118,359,439,494.71/385,721.12
  6. Step 6: Final answer
    x = 306,852.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.