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Finding the Fourth Proportional to 505,265.93, 757,240.72 and 205,396.24

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Solution

The fourth proportional to 505,265.93, 757,240.72 and 205,396.24 is: 307,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,265.93 : 757,240.72 = 205,396.24 : x
  2. Step 2: Convert to fraction form
    505,265.93/757,240.72 = 205,396.24/x
  3. Step 3: Cross multiply
    505,265.93x = 757,240.72 × 205,396.24
  4. Step 4: Simplify right side
    505,265.93x = 155,534,396,662.89
  5. Step 5: Solve for x
    x = 155,534,396,662.89/505,265.93
  6. Step 6: Final answer
    x = 307,826.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.