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Finding the Fourth Proportional to 502,512.21, 693,493.43 and 284,763.15

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Solution

The fourth proportional to 502,512.21, 693,493.43 and 284,763.15 is: 392,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,512.21 : 693,493.43 = 284,763.15 : x
  2. Step 2: Convert to fraction form
    502,512.21/693,493.43 = 284,763.15/x
  3. Step 3: Cross multiply
    502,512.21x = 693,493.43 × 284,763.15
  4. Step 4: Simplify right side
    502,512.21x = 197,481,372,207.29
  5. Step 5: Solve for x
    x = 197,481,372,207.29/502,512.21
  6. Step 6: Final answer
    x = 392,988.21

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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.