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Finding the Fourth Proportional to 930,889,919.70, 1,396,334,879.55 and 412,770,374.10

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Solution

The fourth proportional to 930,889,919.70, 1,396,334,879.55 and 412,770,374.10 is: 619,155,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,889,919.70 : 1,396,334,879.55 = 412,770,374.10 : x
  2. Step 2: Convert to fraction form
    930,889,919.70/1,396,334,879.55 = 412,770,374.10/x
  3. Step 3: Cross multiply
    930,889,919.70x = 1,396,334,879.55 × 412,770,374.10
  4. Step 4: Simplify right side
    930,889,919.70x = 576,365,670,600,731,968
  5. Step 5: Solve for x
    x = 576,365,670,600,731,968/930,889,919.70
  6. Step 6: Final answer
    x = 619,155,561.15

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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.