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Finding the Fourth Proportional to 307,319.30, 424,078.97 and 171,347.43

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Solution

The fourth proportional to 307,319.30, 424,078.97 and 171,347.43 is: 236,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,319.30 : 424,078.97 = 171,347.43 : x
  2. Step 2: Convert to fraction form
    307,319.30/424,078.97 = 171,347.43/x
  3. Step 3: Cross multiply
    307,319.30x = 424,078.97 × 171,347.43
  4. Step 4: Simplify right side
    307,319.30x = 72,664,840,769.81
  5. Step 5: Solve for x
    x = 72,664,840,769.81/307,319.30
  6. Step 6: Final answer
    x = 236,447.38

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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.