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Finding the Fourth Proportional to 275,739.54, 413,963.52 and 212,599.77

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Solution

The fourth proportional to 275,739.54, 413,963.52 and 212,599.77 is: 319,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,739.54 : 413,963.52 = 212,599.77 : x
  2. Step 2: Convert to fraction form
    275,739.54/413,963.52 = 212,599.77/x
  3. Step 3: Cross multiply
    275,739.54x = 413,963.52 × 212,599.77
  4. Step 4: Simplify right side
    275,739.54x = 88,008,549,140.39
  5. Step 5: Solve for x
    x = 88,008,549,140.39/275,739.54
  6. Step 6: Final answer
    x = 319,172.76

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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.