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Finding the Fourth Proportional to 385,799.69, 532,397.81 and 213,717.12

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Solution

The fourth proportional to 385,799.69, 532,397.81 and 213,717.12 is: 294,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,799.69 : 532,397.81 = 213,717.12 : x
  2. Step 2: Convert to fraction form
    385,799.69/532,397.81 = 213,717.12/x
  3. Step 3: Cross multiply
    385,799.69x = 532,397.81 × 213,717.12
  4. Step 4: Simplify right side
    385,799.69x = 113,782,525,578.92
  5. Step 5: Solve for x
    x = 113,782,525,578.92/385,799.69
  6. Step 6: Final answer
    x = 294,926.43

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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.