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Finding the Fourth Proportional to 303,804.61, 419,249.01 and 167,838.58

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Solution

The fourth proportional to 303,804.61, 419,249.01 and 167,838.58 is: 231,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,804.61 : 419,249.01 = 167,838.58 : x
  2. Step 2: Convert to fraction form
    303,804.61/419,249.01 = 167,838.58/x
  3. Step 3: Cross multiply
    303,804.61x = 419,249.01 × 167,838.58
  4. Step 4: Simplify right side
    303,804.61x = 70,366,159,658.26
  5. Step 5: Solve for x
    x = 70,366,159,658.26/303,804.61
  6. Step 6: Final answer
    x = 231,616.50

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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.