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Finding the Fourth Proportional to 505,391.51, 758,089.74 and 205,874.97

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Solution

The fourth proportional to 505,391.51, 758,089.74 and 205,874.97 is: 308,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,391.51 : 758,089.74 = 205,874.97 : x
  2. Step 2: Convert to fraction form
    505,391.51/758,089.74 = 205,874.97/x
  3. Step 3: Cross multiply
    505,391.51x = 758,089.74 × 205,874.97
  4. Step 4: Simplify right side
    505,391.51x = 156,071,702,479.81
  5. Step 5: Solve for x
    x = 156,071,702,479.81/505,391.51
  6. Step 6: Final answer
    x = 308,813.47

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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.