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Finding the Fourth Proportional to 489,018.05, 733,342.80 and 204,728.20

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Solution

The fourth proportional to 489,018.05, 733,342.80 and 204,728.20 is: 307,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,018.05 : 733,342.80 = 204,728.20 : x
  2. Step 2: Convert to fraction form
    489,018.05/733,342.80 = 204,728.20/x
  3. Step 3: Cross multiply
    489,018.05x = 733,342.80 × 204,728.20
  4. Step 4: Simplify right side
    489,018.05x = 150,135,951,426.96
  5. Step 5: Solve for x
    x = 150,135,951,426.96/489,018.05
  6. Step 6: Final answer
    x = 307,015.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.