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Finding the Fourth Proportional to 382,293, 527,578.92 and 212,539.68

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Solution

The fourth proportional to 382,293, 527,578.92 and 212,539.68 is: 293,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,293 : 527,578.92 = 212,539.68 : x
  2. Step 2: Convert to fraction form
    382,293/527,578.92 = 212,539.68/x
  3. Step 3: Cross multiply
    382,293x = 527,578.92 × 212,539.68
  4. Step 4: Simplify right side
    382,293x = 112,131,454,831.55
  5. Step 5: Solve for x
    x = 112,131,454,831.55/382,293
  6. Step 6: Final answer
    x = 293,312.86

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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.