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Finding the Fourth Proportional to 502,379.73, 693,112.56 and 311,323.41

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Solution

The fourth proportional to 502,379.73, 693,112.56 and 311,323.41 is: 429,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,379.73 : 693,112.56 = 311,323.41 : x
  2. Step 2: Convert to fraction form
    502,379.73/693,112.56 = 311,323.41/x
  3. Step 3: Cross multiply
    502,379.73x = 693,112.56 × 311,323.41
  4. Step 4: Simplify right side
    502,379.73x = 215,782,165,693.03
  5. Step 5: Solve for x
    x = 215,782,165,693.03/502,379.73
  6. Step 6: Final answer
    x = 429,520.05

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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.