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Finding the Fourth Proportional to 305,306.37, 421,467.45 and 203,501.52

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Solution

The fourth proportional to 305,306.37, 421,467.45 and 203,501.52 is: 280,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,306.37 : 421,467.45 = 203,501.52 : x
  2. Step 2: Convert to fraction form
    305,306.37/421,467.45 = 203,501.52/x
  3. Step 3: Cross multiply
    305,306.37x = 421,467.45 × 203,501.52
  4. Step 4: Simplify right side
    305,306.37x = 85,769,266,705.52
  5. Step 5: Solve for x
    x = 85,769,266,705.52/305,306.37
  6. Step 6: Final answer
    x = 280,928.52

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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.