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Finding the Fourth Proportional to 307,957, 424,981.94 and 166,645

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Solution

The fourth proportional to 307,957, 424,981.94 and 166,645 is: 229,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,957 : 424,981.94 = 166,645 : x
  2. Step 2: Convert to fraction form
    307,957/424,981.94 = 166,645/x
  3. Step 3: Cross multiply
    307,957x = 424,981.94 × 166,645
  4. Step 4: Simplify right side
    307,957x = 70,821,115,391.30
  5. Step 5: Solve for x
    x = 70,821,115,391.30/307,957
  6. Step 6: Final answer
    x = 229,970.79

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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.