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Finding the Fourth Proportional to 1,398,438,878.07, 1,929,845,843.82 and 771,907,438.83

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Solution

The fourth proportional to 1,398,438,878.07, 1,929,845,843.82 and 771,907,438.83 is: 1,065,232,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,438,878.07 : 1,929,845,843.82 = 771,907,438.83 : x
  2. Step 2: Convert to fraction form
    1,398,438,878.07/1,929,845,843.82 = 771,907,438.83/x
  3. Step 3: Cross multiply
    1,398,438,878.07x = 1,929,845,843.82 × 771,907,438.83
  4. Step 4: Simplify right side
    1,398,438,878.07x = 1,489,662,362,639,816,448
  5. Step 5: Solve for x
    x = 1,489,662,362,639,816,448/1,398,438,878.07
  6. Step 6: Final answer
    x = 1,065,232,371.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.