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Finding the Fourth Proportional to 505,091.22, 697,007.58 and 278,731.86

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Solution

The fourth proportional to 505,091.22, 697,007.58 and 278,731.86 is: 384,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,091.22 : 697,007.58 = 278,731.86 : x
  2. Step 2: Convert to fraction form
    505,091.22/697,007.58 = 278,731.86/x
  3. Step 3: Cross multiply
    505,091.22x = 697,007.58 × 278,731.86
  4. Step 4: Simplify right side
    505,091.22x = 194,278,219,207.50
  5. Step 5: Solve for x
    x = 194,278,219,207.50/505,091.22
  6. Step 6: Final answer
    x = 384,639.87

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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.