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Finding the Fourth Proportional to 284,982, 393,432.12 and 213,336.24

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Solution

The fourth proportional to 284,982, 393,432.12 and 213,336.24 is: 294,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,982 : 393,432.12 = 213,336.24 : x
  2. Step 2: Convert to fraction form
    284,982/393,432.12 = 213,336.24/x
  3. Step 3: Cross multiply
    284,982x = 393,432.12 × 213,336.24
  4. Step 4: Simplify right side
    284,982x = 83,933,329,176.03
  5. Step 5: Solve for x
    x = 83,933,329,176.03/284,982
  6. Step 6: Final answer
    x = 294,521.51

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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.