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Finding the Fourth Proportional to 299,914.40, 413,894.44 and 172,590.56

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Solution

The fourth proportional to 299,914.40, 413,894.44 and 172,590.56 is: 238,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,914.40 : 413,894.44 = 172,590.56 : x
  2. Step 2: Convert to fraction form
    299,914.40/413,894.44 = 172,590.56/x
  3. Step 3: Cross multiply
    299,914.40x = 413,894.44 × 172,590.56
  4. Step 4: Simplify right side
    299,914.40x = 71,434,273,180.49
  5. Step 5: Solve for x
    x = 71,434,273,180.49/299,914.40
  6. Step 6: Final answer
    x = 238,182.21

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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.