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Finding the Fourth Proportional to 778,002, 1,073,642.76 and 420,306

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Solution

The fourth proportional to 778,002, 1,073,642.76 and 420,306 is: 580,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,002 : 1,073,642.76 = 420,306 : x
  2. Step 2: Convert to fraction form
    778,002/1,073,642.76 = 420,306/x
  3. Step 3: Cross multiply
    778,002x = 1,073,642.76 × 420,306
  4. Step 4: Simplify right side
    778,002x = 451,258,493,884.56
  5. Step 5: Solve for x
    x = 451,258,493,884.56/778,002
  6. Step 6: Final answer
    x = 580,022.28

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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.