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Finding the Fourth Proportional to 206,577.20, 309,428.40 and 184,415.60

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Solution

The fourth proportional to 206,577.20, 309,428.40 and 184,415.60 is: 276,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,577.20 : 309,428.40 = 184,415.60 : x
  2. Step 2: Convert to fraction form
    206,577.20/309,428.40 = 184,415.60/x
  3. Step 3: Cross multiply
    206,577.20x = 309,428.40 × 184,415.60
  4. Step 4: Simplify right side
    206,577.20x = 57,063,424,043.04
  5. Step 5: Solve for x
    x = 57,063,424,043.04/206,577.20
  6. Step 6: Final answer
    x = 276,232.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.