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Finding the Fourth Proportional to 505,229, 697,216.08 and 278,874.56

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Solution

The fourth proportional to 505,229, 697,216.08 and 278,874.56 is: 384,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,229 : 697,216.08 = 278,874.56 : x
  2. Step 2: Convert to fraction form
    505,229/697,216.08 = 278,874.56/x
  3. Step 3: Cross multiply
    505,229x = 697,216.08 × 278,874.56
  4. Step 4: Simplify right side
    505,229x = 194,435,827,534.93
  5. Step 5: Solve for x
    x = 194,435,827,534.93/505,229
  6. Step 6: Final answer
    x = 384,846.93

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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.