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Finding the Fourth Proportional to 368,984.16, 509,172.48 and 218,052

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Solution

The fourth proportional to 368,984.16, 509,172.48 and 218,052 is: 300,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,984.16 : 509,172.48 = 218,052 : x
  2. Step 2: Convert to fraction form
    368,984.16/509,172.48 = 218,052/x
  3. Step 3: Cross multiply
    368,984.16x = 509,172.48 × 218,052
  4. Step 4: Simplify right side
    368,984.16x = 111,026,077,608.96
  5. Step 5: Solve for x
    x = 111,026,077,608.96/368,984.16
  6. Step 6: Final answer
    x = 300,896.60

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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.