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Finding the Fourth Proportional to 502,245.80, 693,142.06 and 284,493.33

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Solution

The fourth proportional to 502,245.80, 693,142.06 and 284,493.33 is: 392,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,245.80 : 693,142.06 = 284,493.33 : x
  2. Step 2: Convert to fraction form
    502,245.80/693,142.06 = 284,493.33/x
  3. Step 3: Cross multiply
    502,245.80x = 693,142.06 × 284,493.33
  4. Step 4: Simplify right side
    502,245.80x = 197,194,292,812.46
  5. Step 5: Solve for x
    x = 197,194,292,812.46/502,245.80
  6. Step 6: Final answer
    x = 392,625.07

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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.