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Finding the Fourth Proportional to 408,663.32, 613,048.53 and 135,018.61

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Solution

The fourth proportional to 408,663.32, 613,048.53 and 135,018.61 is: 202,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,663.32 : 613,048.53 = 135,018.61 : x
  2. Step 2: Convert to fraction form
    408,663.32/613,048.53 = 135,018.61/x
  3. Step 3: Cross multiply
    408,663.32x = 613,048.53 × 135,018.61
  4. Step 4: Simplify right side
    408,663.32x = 82,772,958,850.52
  5. Step 5: Solve for x
    x = 82,772,958,850.52/408,663.32
  6. Step 6: Final answer
    x = 202,545.61

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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.