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Finding the Fourth Proportional to 305,010, 420,813 and 184,105.38

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Solution

The fourth proportional to 305,010, 420,813 and 184,105.38 is: 254,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,010 : 420,813 = 184,105.38 : x
  2. Step 2: Convert to fraction form
    305,010/420,813 = 184,105.38/x
  3. Step 3: Cross multiply
    305,010x = 420,813 × 184,105.38
  4. Step 4: Simplify right side
    305,010x = 77,473,937,273.94
  5. Step 5: Solve for x
    x = 77,473,937,273.94/305,010
  6. Step 6: Final answer
    x = 254,004.58

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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.