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Finding the Fourth Proportional to 505,322.32, 757,583.64 and 189,744.08

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Solution

The fourth proportional to 505,322.32, 757,583.64 and 189,744.08 is: 284,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,322.32 : 757,583.64 = 189,744.08 : x
  2. Step 2: Convert to fraction form
    505,322.32/757,583.64 = 189,744.08/x
  3. Step 3: Cross multiply
    505,322.32x = 757,583.64 × 189,744.08
  4. Step 4: Simplify right side
    505,322.32x = 143,747,010,794.85
  5. Step 5: Solve for x
    x = 143,747,010,794.85/505,322.32
  6. Step 6: Final answer
    x = 284,465.98

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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.