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Finding the Fourth Proportional to 305,753.18, 421,978.28 and 184,895.33

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Solution

The fourth proportional to 305,753.18, 421,978.28 and 184,895.33 is: 255,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,753.18 : 421,978.28 = 184,895.33 : x
  2. Step 2: Convert to fraction form
    305,753.18/421,978.28 = 184,895.33/x
  3. Step 3: Cross multiply
    305,753.18x = 421,978.28 × 184,895.33
  4. Step 4: Simplify right side
    305,753.18x = 78,021,810,299.06
  5. Step 5: Solve for x
    x = 78,021,810,299.06/305,753.18
  6. Step 6: Final answer
    x = 255,179.07

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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.