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Finding the Fourth Proportional to 695,563.89, 959,888.13 and 405,168

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Solution

The fourth proportional to 695,563.89, 959,888.13 and 405,168 is: 559,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,563.89 : 959,888.13 = 405,168 : x
  2. Step 2: Convert to fraction form
    695,563.89/959,888.13 = 405,168/x
  3. Step 3: Cross multiply
    695,563.89x = 959,888.13 × 405,168
  4. Step 4: Simplify right side
    695,563.89x = 388,915,953,855.84
  5. Step 5: Solve for x
    x = 388,915,953,855.84/695,563.89
  6. Step 6: Final answer
    x = 559,137.64

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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.