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Finding the Fourth Proportional to 613,103.20, 919,683.60 and 192,392.80

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Solution

The fourth proportional to 613,103.20, 919,683.60 and 192,392.80 is: 288,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,103.20 : 919,683.60 = 192,392.80 : x
  2. Step 2: Convert to fraction form
    613,103.20/919,683.60 = 192,392.80/x
  3. Step 3: Cross multiply
    613,103.20x = 919,683.60 × 192,392.80
  4. Step 4: Simplify right side
    613,103.20x = 176,940,502,918.08
  5. Step 5: Solve for x
    x = 176,940,502,918.08/613,103.20
  6. Step 6: Final answer
    x = 288,598.24

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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.