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Finding the Fourth Proportional to 488,793,894.40, 734,041,147.20 and 259,211,382.40

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Solution

The fourth proportional to 488,793,894.40, 734,041,147.20 and 259,211,382.40 is: 389,267,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,793,894.40 : 734,041,147.20 = 259,211,382.40 : x
  2. Step 2: Convert to fraction form
    488,793,894.40/734,041,147.20 = 259,211,382.40/x
  3. Step 3: Cross multiply
    488,793,894.40x = 734,041,147.20 × 259,211,382.40
  4. Step 4: Simplify right side
    488,793,894.40x = 190,271,820,504,193,920
  5. Step 5: Solve for x
    x = 190,271,820,504,193,920/488,793,894.40
  6. Step 6: Final answer
    x = 389,267,997.58

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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.