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Finding the Fourth Proportional to 505,178.07, 757,110.99 and 205,309.71

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Solution

The fourth proportional to 505,178.07, 757,110.99 and 205,309.71 is: 307,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,178.07 : 757,110.99 = 205,309.71 : x
  2. Step 2: Convert to fraction form
    505,178.07/757,110.99 = 205,309.71/x
  3. Step 3: Cross multiply
    505,178.07x = 757,110.99 × 205,309.71
  4. Step 4: Simplify right side
    505,178.07x = 155,442,237,794.71
  5. Step 5: Solve for x
    x = 155,442,237,794.71/505,178.07
  6. Step 6: Final answer
    x = 307,697.91

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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.