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Finding the Fourth Proportional to 493,647.29, 681,305.97 and 289,810.64

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Solution

The fourth proportional to 493,647.29, 681,305.97 and 289,810.64 is: 399,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,647.29 : 681,305.97 = 289,810.64 : x
  2. Step 2: Convert to fraction form
    493,647.29/681,305.97 = 289,810.64/x
  3. Step 3: Cross multiply
    493,647.29x = 681,305.97 × 289,810.64
  4. Step 4: Simplify right side
    493,647.29x = 197,449,719,201.52
  5. Step 5: Solve for x
    x = 197,449,719,201.52/493,647.29
  6. Step 6: Final answer
    x = 399,981.37

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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.