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Finding the Fourth Proportional to 772,375.88, 1,065,912.42 and 428,189.91

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Solution

The fourth proportional to 772,375.88, 1,065,912.42 and 428,189.91 is: 590,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,375.88 : 1,065,912.42 = 428,189.91 : x
  2. Step 2: Convert to fraction form
    772,375.88/1,065,912.42 = 428,189.91/x
  3. Step 3: Cross multiply
    772,375.88x = 1,065,912.42 × 428,189.91
  4. Step 4: Simplify right side
    772,375.88x = 456,412,943,187.68
  5. Step 5: Solve for x
    x = 456,412,943,187.68/772,375.88
  6. Step 6: Final answer
    x = 590,920.77

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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.