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Finding the Fourth Proportional to 307,538.88, 424,418.40 and 173,400

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Solution

The fourth proportional to 307,538.88, 424,418.40 and 173,400 is: 239,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538.88 : 424,418.40 = 173,400 : x
  2. Step 2: Convert to fraction form
    307,538.88/424,418.40 = 173,400/x
  3. Step 3: Cross multiply
    307,538.88x = 424,418.40 × 173,400
  4. Step 4: Simplify right side
    307,538.88x = 73,594,150,560
  5. Step 5: Solve for x
    x = 73,594,150,560/307,538.88
  6. Step 6: Final answer
    x = 239,300.31

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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.