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Finding the Fourth Proportional to 502,924.32, 694,014.42 and 285,147.64

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Solution

The fourth proportional to 502,924.32, 694,014.42 and 285,147.64 is: 393,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,924.32 : 694,014.42 = 285,147.64 : x
  2. Step 2: Convert to fraction form
    502,924.32/694,014.42 = 285,147.64/x
  3. Step 3: Cross multiply
    502,924.32x = 694,014.42 × 285,147.64
  4. Step 4: Simplify right side
    502,924.32x = 197,896,573,988.97
  5. Step 5: Solve for x
    x = 197,896,573,988.97/502,924.32
  6. Step 6: Final answer
    x = 393,491.76

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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.