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Finding the Fourth Proportional to 404,190,615.20, 606,285,922.80 and 145,414,277.60

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Solution

The fourth proportional to 404,190,615.20, 606,285,922.80 and 145,414,277.60 is: 218,121,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,190,615.20 : 606,285,922.80 = 145,414,277.60 : x
  2. Step 2: Convert to fraction form
    404,190,615.20/606,285,922.80 = 145,414,277.60/x
  3. Step 3: Cross multiply
    404,190,615.20x = 606,285,922.80 × 145,414,277.60
  4. Step 4: Simplify right side
    404,190,615.20x = 88,162,629,483,011,360
  5. Step 5: Solve for x
    x = 88,162,629,483,011,360/404,190,615.20
  6. Step 6: Final answer
    x = 218,121,416.40

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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.