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Finding the Fourth Proportional to 778,839, 1,074,797.88 and 421,143

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Solution

The fourth proportional to 778,839, 1,074,797.88 and 421,143 is: 581,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,839 : 1,074,797.88 = 421,143 : x
  2. Step 2: Convert to fraction form
    778,839/1,074,797.88 = 421,143/x
  3. Step 3: Cross multiply
    778,839x = 1,074,797.88 × 421,143
  4. Step 4: Simplify right side
    778,839x = 452,643,603,576.84
  5. Step 5: Solve for x
    x = 452,643,603,576.84/778,839
  6. Step 6: Final answer
    x = 581,177.37

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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.