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Finding the Fourth Proportional to 385,766.56, 532,339.36 and 213,672.92

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Solution

The fourth proportional to 385,766.56, 532,339.36 and 213,672.92 is: 294,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,766.56 : 532,339.36 = 213,672.92 : x
  2. Step 2: Convert to fraction form
    385,766.56/532,339.36 = 213,672.92/x
  3. Step 3: Cross multiply
    385,766.56x = 532,339.36 × 213,672.92
  4. Step 4: Simplify right side
    385,766.56x = 113,746,502,286.25
  5. Step 5: Solve for x
    x = 113,746,502,286.25/385,766.56
  6. Step 6: Final answer
    x = 294,858.38

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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.