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Finding the Fourth Proportional to 1,297,971.88, 1,942,221.18 and 765,747.88

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Solution

The fourth proportional to 1,297,971.88, 1,942,221.18 and 765,747.88 is: 1,145,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,971.88 : 1,942,221.18 = 765,747.88 : x
  2. Step 2: Convert to fraction form
    1,297,971.88/1,942,221.18 = 765,747.88/x
  3. Step 3: Cross multiply
    1,297,971.88x = 1,942,221.18 × 765,747.88
  4. Step 4: Simplify right side
    1,297,971.88x = 1,487,251,751,076.10
  5. Step 5: Solve for x
    x = 1,487,251,751,076.10/1,297,971.88
  6. Step 6: Final answer
    x = 1,145,827.41

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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.