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Finding the Fourth Proportional to 505,561.91, 758,132.46 and 205,839.23

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Solution

The fourth proportional to 505,561.91, 758,132.46 and 205,839.23 is: 308,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,561.91 : 758,132.46 = 205,839.23 : x
  2. Step 2: Convert to fraction form
    505,561.91/758,132.46 = 205,839.23/x
  3. Step 3: Cross multiply
    505,561.91x = 758,132.46 × 205,839.23
  4. Step 4: Simplify right side
    505,561.91x = 156,053,398,013.74
  5. Step 5: Solve for x
    x = 156,053,398,013.74/505,561.91
  6. Step 6: Final answer
    x = 308,673.17

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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.