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Finding the Fourth Proportional to 303,991.89, 419,291.19 and 213,368.01

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Solution

The fourth proportional to 303,991.89, 419,291.19 and 213,368.01 is: 294,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,991.89 : 419,291.19 = 213,368.01 : x
  2. Step 2: Convert to fraction form
    303,991.89/419,291.19 = 213,368.01/x
  3. Step 3: Cross multiply
    303,991.89x = 419,291.19 × 213,368.01
  4. Step 4: Simplify right side
    303,991.89x = 89,463,326,820.83
  5. Step 5: Solve for x
    x = 89,463,326,820.83/303,991.89
  6. Step 6: Final answer
    x = 294,295.11

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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.