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Finding the Fourth Proportional to 778,225.75, 1,073,967.94 and 438,694

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Solution

The fourth proportional to 778,225.75, 1,073,967.94 and 438,694 is: 605,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,225.75 : 1,073,967.94 = 438,694 : x
  2. Step 2: Convert to fraction form
    778,225.75/1,073,967.94 = 438,694/x
  3. Step 3: Cross multiply
    778,225.75x = 1,073,967.94 × 438,694
  4. Step 4: Simplify right side
    778,225.75x = 471,143,291,470.36
  5. Step 5: Solve for x
    x = 471,143,291,470.36/778,225.75
  6. Step 6: Final answer
    x = 605,406.97

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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.