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Finding the Fourth Proportional to 1,259,714,231.80, 1,889,571,347.70 and 892,382,212.60

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Solution

The fourth proportional to 1,259,714,231.80, 1,889,571,347.70 and 892,382,212.60 is: 1,338,573,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,714,231.80 : 1,889,571,347.70 = 892,382,212.60 : x
  2. Step 2: Convert to fraction form
    1,259,714,231.80/1,889,571,347.70 = 892,382,212.60/x
  3. Step 3: Cross multiply
    1,259,714,231.80x = 1,889,571,347.70 × 892,382,212.60
  4. Step 4: Simplify right side
    1,259,714,231.80x = 1,686,219,860,126,089,984
  5. Step 5: Solve for x
    x = 1,686,219,860,126,089,984/1,259,714,231.80
  6. Step 6: Final answer
    x = 1,338,573,318.90

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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.