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Finding the Fourth Proportional to 505,036, 696,964.26 and 278,696.08

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Solution

The fourth proportional to 505,036, 696,964.26 and 278,696.08 is: 384,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,036 : 696,964.26 = 278,696.08 : x
  2. Step 2: Convert to fraction form
    505,036/696,964.26 = 278,696.08/x
  3. Step 3: Cross multiply
    505,036x = 696,964.26 × 278,696.08
  4. Step 4: Simplify right side
    505,036x = 194,241,207,162.10
  5. Step 5: Solve for x
    x = 194,241,207,162.10/505,036
  6. Step 6: Final answer
    x = 384,608.64

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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.