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Finding the Fourth Proportional to 502,903.80, 693,837.38 and 285,089.11

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Solution

The fourth proportional to 502,903.80, 693,837.38 and 285,089.11 is: 393,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,903.80 : 693,837.38 = 285,089.11 : x
  2. Step 2: Convert to fraction form
    502,903.80/693,837.38 = 285,089.11/x
  3. Step 3: Cross multiply
    502,903.80x = 693,837.38 × 285,089.11
  4. Step 4: Simplify right side
    502,903.80x = 197,805,481,861.66
  5. Step 5: Solve for x
    x = 197,805,481,861.66/502,903.80
  6. Step 6: Final answer
    x = 393,326.68

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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.