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Finding the Fourth Proportional to 370,626.88, 511,466.92 and 200,861

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Solution

The fourth proportional to 370,626.88, 511,466.92 and 200,861 is: 277,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,626.88 : 511,466.92 = 200,861 : x
  2. Step 2: Convert to fraction form
    370,626.88/511,466.92 = 200,861/x
  3. Step 3: Cross multiply
    370,626.88x = 511,466.92 × 200,861
  4. Step 4: Simplify right side
    370,626.88x = 102,733,757,018.12
  5. Step 5: Solve for x
    x = 102,733,757,018.12/370,626.88
  6. Step 6: Final answer
    x = 277,189.17

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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.