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Finding the Fourth Proportional to 502,908.44, 693,843.74 and 285,093.76

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Solution

The fourth proportional to 502,908.44, 693,843.74 and 285,093.76 is: 393,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,908.44 : 693,843.74 = 285,093.76 : x
  2. Step 2: Convert to fraction form
    502,908.44/693,843.74 = 285,093.76/x
  3. Step 3: Cross multiply
    502,908.44x = 693,843.74 × 285,093.76
  4. Step 4: Simplify right side
    502,908.44x = 197,810,520,689.06
  5. Step 5: Solve for x
    x = 197,810,520,689.06/502,908.44
  6. Step 6: Final answer
    x = 393,333.07

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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.