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Finding the Fourth Proportional to 385,376.43, 531,815.52 and 213,294.77

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Solution

The fourth proportional to 385,376.43, 531,815.52 and 213,294.77 is: 294,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,376.43 : 531,815.52 = 213,294.77 : x
  2. Step 2: Convert to fraction form
    385,376.43/531,815.52 = 213,294.77/x
  3. Step 3: Cross multiply
    385,376.43x = 531,815.52 × 213,294.77
  4. Step 4: Simplify right side
    385,376.43x = 113,433,469,155.92
  5. Step 5: Solve for x
    x = 113,433,469,155.92/385,376.43
  6. Step 6: Final answer
    x = 294,344.59

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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.