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Finding the Fourth Proportional to 385,414.92, 531,873.32 and 213,344.80

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Solution

The fourth proportional to 385,414.92, 531,873.32 and 213,344.80 is: 294,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,414.92 : 531,873.32 = 213,344.80 : x
  2. Step 2: Convert to fraction form
    385,414.92/531,873.32 = 213,344.80/x
  3. Step 3: Cross multiply
    385,414.92x = 531,873.32 × 213,344.80
  4. Step 4: Simplify right side
    385,414.92x = 113,472,407,080.74
  5. Step 5: Solve for x
    x = 113,472,407,080.74/385,414.92
  6. Step 6: Final answer
    x = 294,416.23

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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.