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Finding the Fourth Proportional to 505,736.78, 758,075.32 and 235,642.21

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Solution

The fourth proportional to 505,736.78, 758,075.32 and 235,642.21 is: 353,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,736.78 : 758,075.32 = 235,642.21 : x
  2. Step 2: Convert to fraction form
    505,736.78/758,075.32 = 235,642.21/x
  3. Step 3: Cross multiply
    505,736.78x = 758,075.32 × 235,642.21
  4. Step 4: Simplify right side
    505,736.78x = 178,634,543,162.15
  5. Step 5: Solve for x
    x = 178,634,543,162.15/505,736.78
  6. Step 6: Final answer
    x = 353,216.44

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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.