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Finding the Fourth Proportional to 258,195.63, 356,302.83 and 143,471.31

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Solution

The fourth proportional to 258,195.63, 356,302.83 and 143,471.31 is: 197,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,195.63 : 356,302.83 = 143,471.31 : x
  2. Step 2: Convert to fraction form
    258,195.63/356,302.83 = 143,471.31/x
  3. Step 3: Cross multiply
    258,195.63x = 356,302.83 × 143,471.31
  4. Step 4: Simplify right side
    258,195.63x = 51,119,233,776.81
  5. Step 5: Solve for x
    x = 51,119,233,776.81/258,195.63
  6. Step 6: Final answer
    x = 197,986.44

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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.