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Finding the Fourth Proportional to 631,736, 947,768.16 and 188,504

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Solution

The fourth proportional to 631,736, 947,768.16 and 188,504 is: 282,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,736 : 947,768.16 = 188,504 : x
  2. Step 2: Convert to fraction form
    631,736/947,768.16 = 188,504/x
  3. Step 3: Cross multiply
    631,736x = 947,768.16 × 188,504
  4. Step 4: Simplify right side
    631,736x = 178,658,089,232.64
  5. Step 5: Solve for x
    x = 178,658,089,232.64/631,736
  6. Step 6: Final answer
    x = 282,804.98

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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.