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Finding the Fourth Proportional to 307,384.24, 424,192.68 and 171,427

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Solution

The fourth proportional to 307,384.24, 424,192.68 and 171,427 is: 236,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,384.24 : 424,192.68 = 171,427 : x
  2. Step 2: Convert to fraction form
    307,384.24/424,192.68 = 171,427/x
  3. Step 3: Cross multiply
    307,384.24x = 424,192.68 × 171,427
  4. Step 4: Simplify right side
    307,384.24x = 72,718,078,554.36
  5. Step 5: Solve for x
    x = 72,718,078,554.36/307,384.24
  6. Step 6: Final answer
    x = 236,570.61

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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.