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Finding the Fourth Proportional to 790,797, 1,091,297.89 and 428,220.83

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Solution

The fourth proportional to 790,797, 1,091,297.89 and 428,220.83 is: 590,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,797 : 1,091,297.89 = 428,220.83 : x
  2. Step 2: Convert to fraction form
    790,797/1,091,297.89 = 428,220.83/x
  3. Step 3: Cross multiply
    790,797x = 1,091,297.89 × 428,220.83
  4. Step 4: Simplify right side
    790,797x = 467,316,488,233.05
  5. Step 5: Solve for x
    x = 467,316,488,233.05/790,797
  6. Step 6: Final answer
    x = 590,943.68

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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.