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Finding the Fourth Proportional to 613,131.32, 919,735.80 and 192,423.80

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Solution

The fourth proportional to 613,131.32, 919,735.80 and 192,423.80 is: 288,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,131.32 : 919,735.80 = 192,423.80 : x
  2. Step 2: Convert to fraction form
    613,131.32/919,735.80 = 192,423.80/x
  3. Step 3: Cross multiply
    613,131.32x = 919,735.80 × 192,423.80
  4. Step 4: Simplify right side
    613,131.32x = 176,979,057,632.04
  5. Step 5: Solve for x
    x = 176,979,057,632.04/613,131.32
  6. Step 6: Final answer
    x = 288,647.88

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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.