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Finding the Fourth Proportional to 408,153.41, 612,274.77 and 138,476.26

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Solution

The fourth proportional to 408,153.41, 612,274.77 and 138,476.26 is: 207,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,153.41 : 612,274.77 = 138,476.26 : x
  2. Step 2: Convert to fraction form
    408,153.41/612,274.77 = 138,476.26/x
  3. Step 3: Cross multiply
    408,153.41x = 612,274.77 × 138,476.26
  4. Step 4: Simplify right side
    408,153.41x = 84,785,519,549.58
  5. Step 5: Solve for x
    x = 84,785,519,549.58/408,153.41
  6. Step 6: Final answer
    x = 207,729.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.