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Finding the Fourth Proportional to 274,042.71, 378,239.94 and 166,590

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Solution

The fourth proportional to 274,042.71, 378,239.94 and 166,590 is: 229,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,042.71 : 378,239.94 = 166,590 : x
  2. Step 2: Convert to fraction form
    274,042.71/378,239.94 = 166,590/x
  3. Step 3: Cross multiply
    274,042.71x = 378,239.94 × 166,590
  4. Step 4: Simplify right side
    274,042.71x = 63,010,991,604.60
  5. Step 5: Solve for x
    x = 63,010,991,604.60/274,042.71
  6. Step 6: Final answer
    x = 229,931.28

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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.