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Finding the Fourth Proportional to 305,344.44, 421,230.24 and 203,417.28

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Solution

The fourth proportional to 305,344.44, 421,230.24 and 203,417.28 is: 280,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344.44 : 421,230.24 = 203,417.28 : x
  2. Step 2: Convert to fraction form
    305,344.44/421,230.24 = 203,417.28/x
  3. Step 3: Cross multiply
    305,344.44x = 421,230.24 × 203,417.28
  4. Step 4: Simplify right side
    305,344.44x = 85,685,509,674.55
  5. Step 5: Solve for x
    x = 85,685,509,674.55/305,344.44
  6. Step 6: Final answer
    x = 280,619.19

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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.