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Finding the Fourth Proportional to 502,327.44, 693,199.84 and 287,453.80

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Solution

The fourth proportional to 502,327.44, 693,199.84 and 287,453.80 is: 396,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,327.44 : 693,199.84 = 287,453.80 : x
  2. Step 2: Convert to fraction form
    502,327.44/693,199.84 = 287,453.80/x
  3. Step 3: Cross multiply
    502,327.44x = 693,199.84 × 287,453.80
  4. Step 4: Simplify right side
    502,327.44x = 199,262,928,167.39
  5. Step 5: Solve for x
    x = 199,262,928,167.39/502,327.44
  6. Step 6: Final answer
    x = 396,679.36

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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.