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Finding the Fourth Proportional to 307,125.88, 423,846.80 and 171,160

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Solution

The fourth proportional to 307,125.88, 423,846.80 and 171,160 is: 236,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,125.88 : 423,846.80 = 171,160 : x
  2. Step 2: Convert to fraction form
    307,125.88/423,846.80 = 171,160/x
  3. Step 3: Cross multiply
    307,125.88x = 423,846.80 × 171,160
  4. Step 4: Simplify right side
    307,125.88x = 72,545,618,288
  5. Step 5: Solve for x
    x = 72,545,618,288/307,125.88
  6. Step 6: Final answer
    x = 236,208.09

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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.