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Finding the Fourth Proportional to 613,084.81, 919,632.38 and 213,724.84

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Solution

The fourth proportional to 613,084.81, 919,632.38 and 213,724.84 is: 320,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,084.81 : 919,632.38 = 213,724.84 : x
  2. Step 2: Convert to fraction form
    613,084.81/919,632.38 = 213,724.84/x
  3. Step 3: Cross multiply
    613,084.81x = 919,632.38 × 213,724.84
  4. Step 4: Simplify right side
    613,084.81x = 196,548,279,906.61
  5. Step 5: Solve for x
    x = 196,548,279,906.61/613,084.81
  6. Step 6: Final answer
    x = 320,589.06

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1.5x scale

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.