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Finding the Fourth Proportional to 307,394.25, 424,203.25 and 171,428.36

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Solution

The fourth proportional to 307,394.25, 424,203.25 and 171,428.36 is: 236,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,394.25 : 424,203.25 = 171,428.36 : x
  2. Step 2: Convert to fraction form
    307,394.25/424,203.25 = 171,428.36/x
  3. Step 3: Cross multiply
    307,394.25x = 424,203.25 × 171,428.36
  4. Step 4: Simplify right side
    307,394.25x = 72,720,466,470.66
  5. Step 5: Solve for x
    x = 72,720,466,470.66/307,394.25
  6. Step 6: Final answer
    x = 236,570.68

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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.