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Finding the Fourth Proportional to 1,181,648,267.68, 1,770,888,048 and 919,649,196.40

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Solution

The fourth proportional to 1,181,648,267.68, 1,770,888,048 and 919,649,196.40 is: 1,378,240,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,648,267.68 : 1,770,888,048 = 919,649,196.40 : x
  2. Step 2: Convert to fraction form
    1,181,648,267.68/1,770,888,048 = 919,649,196.40/x
  3. Step 3: Cross multiply
    1,181,648,267.68x = 1,770,888,048 × 919,649,196.40
  4. Step 4: Simplify right side
    1,181,648,267.68x = 1,628,595,770,257,564,672
  5. Step 5: Solve for x
    x = 1,628,595,770,257,564,672/1,181,648,267.68
  6. Step 6: Final answer
    x = 1,378,240,729.33

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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.