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Finding the Fourth Proportional to 282,539.39, 389,902.75 and 155,212.25

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Solution

The fourth proportional to 282,539.39, 389,902.75 and 155,212.25 is: 214,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,539.39 : 389,902.75 = 155,212.25 : x
  2. Step 2: Convert to fraction form
    282,539.39/389,902.75 = 155,212.25/x
  3. Step 3: Cross multiply
    282,539.39x = 389,902.75 × 155,212.25
  4. Step 4: Simplify right side
    282,539.39x = 60,517,680,771.14
  5. Step 5: Solve for x
    x = 60,517,680,771.14/282,539.39
  6. Step 6: Final answer
    x = 214,192.02

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