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Finding the Fourth Proportional to 505,113.21, 757,642.13 and 305,379.97

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Solution

The fourth proportional to 505,113.21, 757,642.13 and 305,379.97 is: 458,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,113.21 : 757,642.13 = 305,379.97 : x
  2. Step 2: Convert to fraction form
    505,113.21/757,642.13 = 305,379.97/x
  3. Step 3: Cross multiply
    505,113.21x = 757,642.13 × 305,379.97
  4. Step 4: Simplify right side
    505,113.21x = 231,368,727,141.93
  5. Step 5: Solve for x
    x = 231,368,727,141.93/505,113.21
  6. Step 6: Final answer
    x = 458,053.21

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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.