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Finding the Fourth Proportional to 505,210, 697,189.86 and 278,855.56

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Solution

The fourth proportional to 505,210, 697,189.86 and 278,855.56 is: 384,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,210 : 697,189.86 = 278,855.56 : x
  2. Step 2: Convert to fraction form
    505,210/697,189.86 = 278,855.56/x
  3. Step 3: Cross multiply
    505,210x = 697,189.86 × 278,855.56
  4. Step 4: Simplify right side
    505,210x = 194,415,268,836.62
  5. Step 5: Solve for x
    x = 194,415,268,836.62/505,210
  6. Step 6: Final answer
    x = 384,820.71

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1.5x scale

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.