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Finding the Fourth Proportional to 275,473.80, 413,165.34 and 257,541.48

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Solution

The fourth proportional to 275,473.80, 413,165.34 and 257,541.48 is: 386,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,473.80 : 413,165.34 = 257,541.48 : x
  2. Step 2: Convert to fraction form
    275,473.80/413,165.34 = 257,541.48/x
  3. Step 3: Cross multiply
    275,473.80x = 413,165.34 × 257,541.48
  4. Step 4: Simplify right side
    275,473.80x = 106,407,213,148.30
  5. Step 5: Solve for x
    x = 106,407,213,148.30/275,473.80
  6. Step 6: Final answer
    x = 386,269.81

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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.