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Finding the Fourth Proportional to 505,137.72, 697,071.72 and 278,778.36

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Solution

The fourth proportional to 505,137.72, 697,071.72 and 278,778.36 is: 384,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,137.72 : 697,071.72 = 278,778.36 : x
  2. Step 2: Convert to fraction form
    505,137.72/697,071.72 = 278,778.36/x
  3. Step 3: Cross multiply
    505,137.72x = 697,071.72 × 278,778.36
  4. Step 4: Simplify right side
    505,137.72x = 194,328,510,903.98
  5. Step 5: Solve for x
    x = 194,328,510,903.98/505,137.72
  6. Step 6: Final answer
    x = 384,704.02

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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.