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Finding the Fourth Proportional to 385,805.14, 532,405.31 and 213,722.56

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Solution

The fourth proportional to 385,805.14, 532,405.31 and 213,722.56 is: 294,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,805.14 : 532,405.31 = 213,722.56 : x
  2. Step 2: Convert to fraction form
    385,805.14/532,405.31 = 213,722.56/x
  3. Step 3: Cross multiply
    385,805.14x = 532,405.31 × 213,722.56
  4. Step 4: Simplify right side
    385,805.14x = 113,787,023,411.17
  5. Step 5: Solve for x
    x = 113,787,023,411.17/385,805.14
  6. Step 6: Final answer
    x = 294,933.92

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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.