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Finding the Fourth Proportional to 505,265.43, 757,239.97 and 205,395.74

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Solution

The fourth proportional to 505,265.43, 757,239.97 and 205,395.74 is: 307,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,265.43 : 757,239.97 = 205,395.74 : x
  2. Step 2: Convert to fraction form
    505,265.43/757,239.97 = 205,395.74/x
  3. Step 3: Cross multiply
    505,265.43x = 757,239.97 × 205,395.74
  4. Step 4: Simplify right side
    505,265.43x = 155,533,863,995.73
  5. Step 5: Solve for x
    x = 155,533,863,995.73/505,265.43
  6. Step 6: Final answer
    x = 307,826.05

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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.