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Finding the Fourth Proportional to 414,012.57, 621,018.80 and 133,529.82

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Solution

The fourth proportional to 414,012.57, 621,018.80 and 133,529.82 is: 200,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,012.57 : 621,018.80 = 133,529.82 : x
  2. Step 2: Convert to fraction form
    414,012.57/621,018.80 = 133,529.82/x
  3. Step 3: Cross multiply
    414,012.57x = 621,018.80 × 133,529.82
  4. Step 4: Simplify right side
    414,012.57x = 82,924,526,084.88
  5. Step 5: Solve for x
    x = 82,924,526,084.88/414,012.57
  6. Step 6: Final answer
    x = 200,294.71

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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.