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Finding the Fourth Proportional to 613,255.40, 919,969.76 and 213,837.92

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Solution

The fourth proportional to 613,255.40, 919,969.76 and 213,837.92 is: 320,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,255.40 : 919,969.76 = 213,837.92 : x
  2. Step 2: Convert to fraction form
    613,255.40/919,969.76 = 213,837.92/x
  3. Step 3: Cross multiply
    613,255.40x = 919,969.76 × 213,837.92
  4. Step 4: Simplify right side
    613,255.40x = 196,724,419,941.30
  5. Step 5: Solve for x
    x = 196,724,419,941.30/613,255.40
  6. Step 6: Final answer
    x = 320,787.10

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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.