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Finding the Fourth Proportional to 385,805.26, 532,405.48 and 213,722.68

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Solution

The fourth proportional to 385,805.26, 532,405.48 and 213,722.68 is: 294,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,805.26 : 532,405.48 = 213,722.68 : x
  2. Step 2: Convert to fraction form
    385,805.26/532,405.48 = 213,722.68/x
  3. Step 3: Cross multiply
    385,805.26x = 532,405.48 × 213,722.68
  4. Step 4: Simplify right side
    385,805.26x = 113,787,126,032.29
  5. Step 5: Solve for x
    x = 113,787,126,032.29/385,805.26
  6. Step 6: Final answer
    x = 294,934.10

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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.