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Finding the Fourth Proportional to 613,081.32, 919,627.13 and 213,721.35

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Solution

The fourth proportional to 613,081.32, 919,627.13 and 213,721.35 is: 320,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,081.32 : 919,627.13 = 213,721.35 : x
  2. Step 2: Convert to fraction form
    613,081.32/919,627.13 = 213,721.35/x
  3. Step 3: Cross multiply
    613,081.32x = 919,627.13 × 213,721.35
  4. Step 4: Simplify right side
    613,081.32x = 196,543,951,720.23
  5. Step 5: Solve for x
    x = 196,543,951,720.23/613,081.32
  6. Step 6: Final answer
    x = 320,583.82

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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.