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Finding the Fourth Proportional to 299,344.78, 413,439.46 and 218,035.31

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Solution

The fourth proportional to 299,344.78, 413,439.46 and 218,035.31 is: 301,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,344.78 : 413,439.46 = 218,035.31 : x
  2. Step 2: Convert to fraction form
    299,344.78/413,439.46 = 218,035.31/x
  3. Step 3: Cross multiply
    299,344.78x = 413,439.46 × 218,035.31
  4. Step 4: Simplify right side
    299,344.78x = 90,144,400,827.33
  5. Step 5: Solve for x
    x = 90,144,400,827.33/299,344.78
  6. Step 6: Final answer
    x = 301,139.04

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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.