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Finding the Fourth Proportional to 778,284, 1,074,033.36 and 420,588

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Solution

The fourth proportional to 778,284, 1,074,033.36 and 420,588 is: 580,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,284 : 1,074,033.36 = 420,588 : x
  2. Step 2: Convert to fraction form
    778,284/1,074,033.36 = 420,588/x
  3. Step 3: Cross multiply
    778,284x = 1,074,033.36 × 420,588
  4. Step 4: Simplify right side
    778,284x = 451,725,542,815.68
  5. Step 5: Solve for x
    x = 451,725,542,815.68/778,284
  6. Step 6: Final answer
    x = 580,412.22

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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.