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Finding the Fourth Proportional to 296,042.88, 408,542.40 and 161,904

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Solution

The fourth proportional to 296,042.88, 408,542.40 and 161,904 is: 223,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,042.88 : 408,542.40 = 161,904 : x
  2. Step 2: Convert to fraction form
    296,042.88/408,542.40 = 161,904/x
  3. Step 3: Cross multiply
    296,042.88x = 408,542.40 × 161,904
  4. Step 4: Simplify right side
    296,042.88x = 66,144,648,729.60
  5. Step 5: Solve for x
    x = 66,144,648,729.60/296,042.88
  6. Step 6: Final answer
    x = 223,429.28

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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.