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Finding the Fourth Proportional to 505,771.36, 697,978.56 and 279,431.44

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Solution

The fourth proportional to 505,771.36, 697,978.56 and 279,431.44 is: 385,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,771.36 : 697,978.56 = 279,431.44 : x
  2. Step 2: Convert to fraction form
    505,771.36/697,978.56 = 279,431.44/x
  3. Step 3: Cross multiply
    505,771.36x = 697,978.56 × 279,431.44
  4. Step 4: Simplify right side
    505,771.36x = 195,037,154,109.93
  5. Step 5: Solve for x
    x = 195,037,154,109.93/505,771.36
  6. Step 6: Final answer
    x = 385,623.17

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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.