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Finding the Fourth Proportional to 778,224, 1,073,965.53 and 438,692.25

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Solution

The fourth proportional to 778,224, 1,073,965.53 and 438,692.25 is: 605,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,224 : 1,073,965.53 = 438,692.25 : x
  2. Step 2: Convert to fraction form
    778,224/1,073,965.53 = 438,692.25/x
  3. Step 3: Cross multiply
    778,224x = 1,073,965.53 × 438,692.25
  4. Step 4: Simplify right side
    778,224x = 471,140,352,584.68
  5. Step 5: Solve for x
    x = 471,140,352,584.68/778,224
  6. Step 6: Final answer
    x = 605,404.55

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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.