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Finding the Fourth Proportional to 401,285.80, 601,953.22 and 135,023.96

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Solution

The fourth proportional to 401,285.80, 601,953.22 and 135,023.96 is: 202,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,285.80 : 601,953.22 = 135,023.96 : x
  2. Step 2: Convert to fraction form
    401,285.80/601,953.22 = 135,023.96/x
  3. Step 3: Cross multiply
    401,285.80x = 601,953.22 × 135,023.96
  4. Step 4: Simplify right side
    401,285.80x = 81,278,107,499.15
  5. Step 5: Solve for x
    x = 81,278,107,499.15/401,285.80
  6. Step 6: Final answer
    x = 202,544.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.