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Finding the Fourth Proportional to 279,791,806.20, 419,687,709.30 and 98,015,364.60

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Solution

The fourth proportional to 279,791,806.20, 419,687,709.30 and 98,015,364.60 is: 147,023,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,791,806.20 : 419,687,709.30 = 98,015,364.60 : x
  2. Step 2: Convert to fraction form
    279,791,806.20/419,687,709.30 = 98,015,364.60/x
  3. Step 3: Cross multiply
    279,791,806.20x = 419,687,709.30 × 98,015,364.60
  4. Step 4: Simplify right side
    279,791,806.20x = 41,135,843,845,178,312
  5. Step 5: Solve for x
    x = 41,135,843,845,178,312/279,791,806.20
  6. Step 6: Final answer
    x = 147,023,046.90

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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.