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Finding the Fourth Proportional to 509,361.18, 764,194.55 and 205,599.03

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Solution

The fourth proportional to 509,361.18, 764,194.55 and 205,599.03 is: 308,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,361.18 : 764,194.55 = 205,599.03 : x
  2. Step 2: Convert to fraction form
    509,361.18/764,194.55 = 205,599.03/x
  3. Step 3: Cross multiply
    509,361.18x = 764,194.55 × 205,599.03
  4. Step 4: Simplify right side
    509,361.18x = 157,117,657,183.29
  5. Step 5: Solve for x
    x = 157,117,657,183.29/509,361.18
  6. Step 6: Final answer
    x = 308,460.21

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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.