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Finding the Fourth Proportional to 729,616, 1,006,850.44 and 407,317

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Solution

The fourth proportional to 729,616, 1,006,850.44 and 407,317 is: 562,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,616 : 1,006,850.44 = 407,317 : x
  2. Step 2: Convert to fraction form
    729,616/1,006,850.44 = 407,317/x
  3. Step 3: Cross multiply
    729,616x = 1,006,850.44 × 407,317
  4. Step 4: Simplify right side
    729,616x = 410,107,300,669.48
  5. Step 5: Solve for x
    x = 410,107,300,669.48/729,616
  6. Step 6: Final answer
    x = 562,086.50

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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.