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Finding the Fourth Proportional to 790,727, 1,091,201.64 and 428,150.75

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Solution

The fourth proportional to 790,727, 1,091,201.64 and 428,150.75 is: 590,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,727 : 1,091,201.64 = 428,150.75 : x
  2. Step 2: Convert to fraction form
    790,727/1,091,201.64 = 428,150.75/x
  3. Step 3: Cross multiply
    790,727x = 1,091,201.64 × 428,150.75
  4. Step 4: Simplify right side
    790,727x = 467,198,800,567.23
  5. Step 5: Solve for x
    x = 467,198,800,567.23/790,727
  6. Step 6: Final answer
    x = 590,847.16

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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.