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Finding the Fourth Proportional to 303,927.84, 419,428.80 and 167,970.60

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Solution

The fourth proportional to 303,927.84, 419,428.80 and 167,970.60 is: 231,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,927.84 : 419,428.80 = 167,970.60 : x
  2. Step 2: Convert to fraction form
    303,927.84/419,428.80 = 167,970.60/x
  3. Step 3: Cross multiply
    303,927.84x = 419,428.80 × 167,970.60
  4. Step 4: Simplify right side
    303,927.84x = 70,451,707,193.28
  5. Step 5: Solve for x
    x = 70,451,707,193.28/303,927.84
  6. Step 6: Final answer
    x = 231,804.06

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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.