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Finding the Fourth Proportional to 421,464.56, 581,832.60 and 325,754.96

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Solution

The fourth proportional to 421,464.56, 581,832.60 and 325,754.96 is: 449,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,464.56 : 581,832.60 = 325,754.96 : x
  2. Step 2: Convert to fraction form
    421,464.56/581,832.60 = 325,754.96/x
  3. Step 3: Cross multiply
    421,464.56x = 581,832.60 × 325,754.96
  4. Step 4: Simplify right side
    421,464.56x = 189,534,855,339.70
  5. Step 5: Solve for x
    x = 189,534,855,339.70/421,464.56
  6. Step 6: Final answer
    x = 449,705.32

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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.