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Finding the Fourth Proportional to 502,925.82, 694,016.49 and 285,149.14

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Solution

The fourth proportional to 502,925.82, 694,016.49 and 285,149.14 is: 393,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,925.82 : 694,016.49 = 285,149.14 : x
  2. Step 2: Convert to fraction form
    502,925.82/694,016.49 = 285,149.14/x
  3. Step 3: Cross multiply
    502,925.82x = 694,016.49 × 285,149.14
  4. Step 4: Simplify right side
    502,925.82x = 197,898,205,269.32
  5. Step 5: Solve for x
    x = 197,898,205,269.32/502,925.82
  6. Step 6: Final answer
    x = 393,493.83

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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.