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Finding the Fourth Proportional to 490,659,172.80, 735,363,568.80 and 260,738,404.80

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Solution

The fourth proportional to 490,659,172.80, 735,363,568.80 and 260,738,404.80 is: 390,775,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,659,172.80 : 735,363,568.80 = 260,738,404.80 : x
  2. Step 2: Convert to fraction form
    490,659,172.80/735,363,568.80 = 260,738,404.80/x
  3. Step 3: Cross multiply
    490,659,172.80x = 735,363,568.80 × 260,738,404.80
  4. Step 4: Simplify right side
    490,659,172.80x = 191,737,523,876,947,040
  5. Step 5: Solve for x
    x = 191,737,523,876,947,040/490,659,172.80
  6. Step 6: Final answer
    x = 390,775,378.32

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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.