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Finding the Fourth Proportional to 778,889, 1,074,866.88 and 421,193

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Solution

The fourth proportional to 778,889, 1,074,866.88 and 421,193 is: 581,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,889 : 1,074,866.88 = 421,193 : x
  2. Step 2: Convert to fraction form
    778,889/1,074,866.88 = 421,193/x
  3. Step 3: Cross multiply
    778,889x = 1,074,866.88 × 421,193
  4. Step 4: Simplify right side
    778,889x = 452,726,405,787.84
  5. Step 5: Solve for x
    x = 452,726,405,787.84/778,889
  6. Step 6: Final answer
    x = 581,246.37

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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.