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Finding the Fourth Proportional to 778,686, 1,074,586.92 and 420,990

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Solution

The fourth proportional to 778,686, 1,074,586.92 and 420,990 is: 580,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,686 : 1,074,586.92 = 420,990 : x
  2. Step 2: Convert to fraction form
    778,686/1,074,586.92 = 420,990/x
  3. Step 3: Cross multiply
    778,686x = 1,074,586.92 × 420,990
  4. Step 4: Simplify right side
    778,686x = 452,390,347,450.80
  5. Step 5: Solve for x
    x = 452,390,347,450.80/778,686
  6. Step 6: Final answer
    x = 580,966.33

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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.