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Finding the Fourth Proportional to 307,302.26, 424,046.21 and 171,323.51

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Solution

The fourth proportional to 307,302.26, 424,046.21 and 171,323.51 is: 236,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,302.26 : 424,046.21 = 171,323.51 : x
  2. Step 2: Convert to fraction form
    307,302.26/424,046.21 = 171,323.51/x
  3. Step 3: Cross multiply
    307,302.26x = 424,046.21 × 171,323.51
  4. Step 4: Simplify right side
    307,302.26x = 72,649,082,122.55
  5. Step 5: Solve for x
    x = 72,649,082,122.55/307,302.26
  6. Step 6: Final answer
    x = 236,409.21

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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.