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Finding the Fourth Proportional to 301,378, 415,921.12 and 167,242

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Solution

The fourth proportional to 301,378, 415,921.12 and 167,242 is: 230,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,378 : 415,921.12 = 167,242 : x
  2. Step 2: Convert to fraction form
    301,378/415,921.12 = 167,242/x
  3. Step 3: Cross multiply
    301,378x = 415,921.12 × 167,242
  4. Step 4: Simplify right side
    301,378x = 69,559,479,951.04
  5. Step 5: Solve for x
    x = 69,559,479,951.04/301,378
  6. Step 6: Final answer
    x = 230,804.77

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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.