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Finding the Fourth Proportional to 505,213, 697,194 and 278,858.56

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Solution

The fourth proportional to 505,213, 697,194 and 278,858.56 is: 384,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,213 : 697,194 = 278,858.56 : x
  2. Step 2: Convert to fraction form
    505,213/697,194 = 278,858.56/x
  3. Step 3: Cross multiply
    505,213x = 697,194 × 278,858.56
  4. Step 4: Simplify right side
    505,213x = 194,418,514,880.64
  5. Step 5: Solve for x
    x = 194,418,514,880.64/505,213
  6. Step 6: Final answer
    x = 384,824.85

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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.