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Finding the Fourth Proportional to 488,797,908.40, 734,047,168.20 and 259,215,396.40

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Solution

The fourth proportional to 488,797,908.40, 734,047,168.20 and 259,215,396.40 is: 389,274,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,797,908.40 : 734,047,168.20 = 259,215,396.40 : x
  2. Step 2: Convert to fraction form
    488,797,908.40/734,047,168.20 = 259,215,396.40/x
  3. Step 3: Cross multiply
    488,797,908.40x = 734,047,168.20 × 259,215,396.40
  4. Step 4: Simplify right side
    488,797,908.40x = 190,276,327,681,260,480
  5. Step 5: Solve for x
    x = 190,276,327,681,260,480/488,797,908.40
  6. Step 6: Final answer
    x = 389,274,021.86

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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.