Home / 772,471.86-1,065,974.01-428,321.78

Finding the Fourth Proportional to 772,471.86, 1,065,974.01 and 428,321.78

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Solution

The fourth proportional to 772,471.86, 1,065,974.01 and 428,321.78 is: 591,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,471.86 : 1,065,974.01 = 428,321.78 : x
  2. Step 2: Convert to fraction form
    772,471.86/1,065,974.01 = 428,321.78/x
  3. Step 3: Cross multiply
    772,471.86x = 1,065,974.01 × 428,321.78
  4. Step 4: Simplify right side
    772,471.86x = 456,579,880,067.07
  5. Step 5: Solve for x
    x = 456,579,880,067.07/772,471.86
  6. Step 6: Final answer
    x = 591,063.45

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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.