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Finding the Fourth Proportional to 307,245.42, 424,000.44 and 171,288

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Solution

The fourth proportional to 307,245.42, 424,000.44 and 171,288 is: 236,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,245.42 : 424,000.44 = 171,288 : x
  2. Step 2: Convert to fraction form
    307,245.42/424,000.44 = 171,288/x
  3. Step 3: Cross multiply
    307,245.42x = 424,000.44 × 171,288
  4. Step 4: Simplify right side
    307,245.42x = 72,626,187,366.72
  5. Step 5: Solve for x
    x = 72,626,187,366.72/307,245.42
  6. Step 6: Final answer
    x = 236,378.42

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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.