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Finding the Fourth Proportional to 505,082.37, 757,400.57 and 189,317.85

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Solution

The fourth proportional to 505,082.37, 757,400.57 and 189,317.85 is: 283,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,082.37 : 757,400.57 = 189,317.85 : x
  2. Step 2: Convert to fraction form
    505,082.37/757,400.57 = 189,317.85/x
  3. Step 3: Cross multiply
    505,082.37x = 757,400.57 × 189,317.85
  4. Step 4: Simplify right side
    505,082.37x = 143,389,447,501.18
  5. Step 5: Solve for x
    x = 143,389,447,501.18/505,082.37
  6. Step 6: Final answer
    x = 283,893.19

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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.