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Finding the Fourth Proportional to 778,869, 1,074,839.28 and 421,173

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Solution

The fourth proportional to 778,869, 1,074,839.28 and 421,173 is: 581,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,869 : 1,074,839.28 = 421,173 : x
  2. Step 2: Convert to fraction form
    778,869/1,074,839.28 = 421,173/x
  3. Step 3: Cross multiply
    778,869x = 1,074,839.28 × 421,173
  4. Step 4: Simplify right side
    778,869x = 452,693,284,075.44
  5. Step 5: Solve for x
    x = 452,693,284,075.44/778,869
  6. Step 6: Final answer
    x = 581,218.77

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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.