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Finding the Fourth Proportional to 505,406.67, 697,475.57 and 275,978.54

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Solution

The fourth proportional to 505,406.67, 697,475.57 and 275,978.54 is: 380,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,406.67 : 697,475.57 = 275,978.54 : x
  2. Step 2: Convert to fraction form
    505,406.67/697,475.57 = 275,978.54/x
  3. Step 3: Cross multiply
    505,406.67x = 697,475.57 × 275,978.54
  4. Step 4: Simplify right side
    505,406.67x = 192,488,284,627.00
  5. Step 5: Solve for x
    x = 192,488,284,627.00/505,406.67
  6. Step 6: Final answer
    x = 380,858.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.