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Finding the Fourth Proportional to 279,938,144.40, 419,907,216.60 and 75,486,886.80

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Solution

The fourth proportional to 279,938,144.40, 419,907,216.60 and 75,486,886.80 is: 113,230,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938,144.40 : 419,907,216.60 = 75,486,886.80 : x
  2. Step 2: Convert to fraction form
    279,938,144.40/419,907,216.60 = 75,486,886.80/x
  3. Step 3: Cross multiply
    279,938,144.40x = 419,907,216.60 × 75,486,886.80
  4. Step 4: Simplify right side
    279,938,144.40x = 31,697,488,525,987,280
  5. Step 5: Solve for x
    x = 31,697,488,525,987,280/279,938,144.40
  6. Step 6: Final answer
    x = 113,230,330.20

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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.