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Finding the Fourth Proportional to 408,074.40, 612,111.60 and 127,591.20

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Solution

The fourth proportional to 408,074.40, 612,111.60 and 127,591.20 is: 191,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,074.40 : 612,111.60 = 127,591.20 : x
  2. Step 2: Convert to fraction form
    408,074.40/612,111.60 = 127,591.20/x
  3. Step 3: Cross multiply
    408,074.40x = 612,111.60 × 127,591.20
  4. Step 4: Simplify right side
    408,074.40x = 78,100,053,577.92
  5. Step 5: Solve for x
    x = 78,100,053,577.92/408,074.40
  6. Step 6: Final answer
    x = 191,386.80

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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.