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Finding the Fourth Proportional to 307,618.82, 424,513.47 and 171,644.52

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Solution

The fourth proportional to 307,618.82, 424,513.47 and 171,644.52 is: 236,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,618.82 : 424,513.47 = 171,644.52 : x
  2. Step 2: Convert to fraction form
    307,618.82/424,513.47 = 171,644.52/x
  3. Step 3: Cross multiply
    307,618.82x = 424,513.47 × 171,644.52
  4. Step 4: Simplify right side
    307,618.82x = 72,865,410,791.68
  5. Step 5: Solve for x
    x = 72,865,410,791.68/307,618.82
  6. Step 6: Final answer
    x = 236,869.16

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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.