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Finding the Fourth Proportional to 613,318.34, 919,643.78 and 213,852.26

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Solution

The fourth proportional to 613,318.34, 919,643.78 and 213,852.26 is: 320,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,318.34 : 919,643.78 = 213,852.26 : x
  2. Step 2: Convert to fraction form
    613,318.34/919,643.78 = 213,852.26/x
  3. Step 3: Cross multiply
    613,318.34x = 919,643.78 × 213,852.26
  4. Step 4: Simplify right side
    613,318.34x = 196,667,900,747.94
  5. Step 5: Solve for x
    x = 196,667,900,747.94/613,318.34
  6. Step 6: Final answer
    x = 320,662.02

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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.