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Finding the Fourth Proportional to 307,261.42, 424,022.52 and 171,304

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Solution

The fourth proportional to 307,261.42, 424,022.52 and 171,304 is: 236,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,261.42 : 424,022.52 = 171,304 : x
  2. Step 2: Convert to fraction form
    307,261.42/424,022.52 = 171,304/x
  3. Step 3: Cross multiply
    307,261.42x = 424,022.52 × 171,304
  4. Step 4: Simplify right side
    307,261.42x = 72,636,753,766.08
  5. Step 5: Solve for x
    x = 72,636,753,766.08/307,261.42
  6. Step 6: Final answer
    x = 236,400.50

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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.