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Finding the Fourth Proportional to 300,939, 415,295.88 and 166,803

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Solution

The fourth proportional to 300,939, 415,295.88 and 166,803 is: 230,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,939 : 415,295.88 = 166,803 : x
  2. Step 2: Convert to fraction form
    300,939/415,295.88 = 166,803/x
  3. Step 3: Cross multiply
    300,939x = 415,295.88 × 166,803
  4. Step 4: Simplify right side
    300,939x = 69,272,598,671.64
  5. Step 5: Solve for x
    x = 69,272,598,671.64/300,939
  6. Step 6: Final answer
    x = 230,188.17

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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.