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Finding the Fourth Proportional to 279,938,405.60, 419,907,608.40 and 171,099,288.80

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Solution

The fourth proportional to 279,938,405.60, 419,907,608.40 and 171,099,288.80 is: 256,648,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938,405.60 : 419,907,608.40 = 171,099,288.80 : x
  2. Step 2: Convert to fraction form
    279,938,405.60/419,907,608.40 = 171,099,288.80/x
  3. Step 3: Cross multiply
    279,938,405.60x = 419,907,608.40 × 171,099,288.80
  4. Step 4: Simplify right side
    279,938,405.60x = 71,845,893,158,948,904
  5. Step 5: Solve for x
    x = 71,845,893,158,948,904/279,938,405.60
  6. Step 6: Final answer
    x = 256,648,933.20

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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.