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Finding the Fourth Proportional to 305,774.10, 421,667.91 and 281,636.91

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Solution

The fourth proportional to 305,774.10, 421,667.91 and 281,636.91 is: 388,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,774.10 : 421,667.91 = 281,636.91 : x
  2. Step 2: Convert to fraction form
    305,774.10/421,667.91 = 281,636.91/x
  3. Step 3: Cross multiply
    305,774.10x = 421,667.91 × 281,636.91
  4. Step 4: Simplify right side
    305,774.10x = 118,757,247,218.56
  5. Step 5: Solve for x
    x = 118,757,247,218.56/305,774.10
  6. Step 6: Final answer
    x = 388,382.30

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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.