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Finding the Fourth Proportional to 505,268.12, 697,268.58 and 278,912

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Solution

The fourth proportional to 505,268.12, 697,268.58 and 278,912 is: 384,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,268.12 : 697,268.58 = 278,912 : x
  2. Step 2: Convert to fraction form
    505,268.12/697,268.58 = 278,912/x
  3. Step 3: Cross multiply
    505,268.12x = 697,268.58 × 278,912
  4. Step 4: Simplify right side
    505,268.12x = 194,476,574,184.96
  5. Step 5: Solve for x
    x = 194,476,574,184.96/505,268.12
  6. Step 6: Final answer
    x = 384,897.77

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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.