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Finding the Fourth Proportional to 680,477.94, 938,998.44 and 394,017.30

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Solution

The fourth proportional to 680,477.94, 938,998.44 and 394,017.30 is: 543,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,477.94 : 938,998.44 = 394,017.30 : x
  2. Step 2: Convert to fraction form
    680,477.94/938,998.44 = 394,017.30/x
  3. Step 3: Cross multiply
    680,477.94x = 938,998.44 × 394,017.30
  4. Step 4: Simplify right side
    680,477.94x = 369,981,630,033.01
  5. Step 5: Solve for x
    x = 369,981,630,033.01/680,477.94
  6. Step 6: Final answer
    x = 543,708.49

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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.