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Finding the Fourth Proportional to 307,469.42, 424,505.36 and 192,905.25

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Solution

The fourth proportional to 307,469.42, 424,505.36 and 192,905.25 is: 266,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,469.42 : 424,505.36 = 192,905.25 : x
  2. Step 2: Convert to fraction form
    307,469.42/424,505.36 = 192,905.25/x
  3. Step 3: Cross multiply
    307,469.42x = 424,505.36 × 192,905.25
  4. Step 4: Simplify right side
    307,469.42x = 81,889,310,402.42
  5. Step 5: Solve for x
    x = 81,889,310,402.42/307,469.42
  6. Step 6: Final answer
    x = 266,333.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.