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Finding the Fourth Proportional to 408,001.20, 612,131.40 and 183,274.80

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Solution

The fourth proportional to 408,001.20, 612,131.40 and 183,274.80 is: 274,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,001.20 : 612,131.40 = 183,274.80 : x
  2. Step 2: Convert to fraction form
    408,001.20/612,131.40 = 183,274.80/x
  3. Step 3: Cross multiply
    408,001.20x = 612,131.40 × 183,274.80
  4. Step 4: Simplify right side
    408,001.20x = 112,188,259,908.72
  5. Step 5: Solve for x
    x = 112,188,259,908.72/408,001.20
  6. Step 6: Final answer
    x = 274,970.42

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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.