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Finding the Fourth Proportional to 307,267.92, 424,031.49 and 171,310.50

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Solution

The fourth proportional to 307,267.92, 424,031.49 and 171,310.50 is: 236,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,267.92 : 424,031.49 = 171,310.50 : x
  2. Step 2: Convert to fraction form
    307,267.92/424,031.49 = 171,310.50/x
  3. Step 3: Cross multiply
    307,267.92x = 424,031.49 × 171,310.50
  4. Step 4: Simplify right side
    307,267.92x = 72,641,046,567.65
  5. Step 5: Solve for x
    x = 72,641,046,567.65/307,267.92
  6. Step 6: Final answer
    x = 236,409.47

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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.