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Finding the Fourth Proportional to 505,082, 757,400.04 and 189,317.47

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Solution

The fourth proportional to 505,082, 757,400.04 and 189,317.47 is: 283,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,082 : 757,400.04 = 189,317.47 : x
  2. Step 2: Convert to fraction form
    505,082/757,400.04 = 189,317.47/x
  3. Step 3: Cross multiply
    505,082x = 757,400.04 × 189,317.47
  4. Step 4: Simplify right side
    505,082x = 143,389,059,350.70
  5. Step 5: Solve for x
    x = 143,389,059,350.70/505,082
  6. Step 6: Final answer
    x = 283,892.63

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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.