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Finding the Fourth Proportional to 325,779.86, 488,694.78 and 109,639.64

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Solution

The fourth proportional to 325,779.86, 488,694.78 and 109,639.64 is: 164,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,779.86 : 488,694.78 = 109,639.64 : x
  2. Step 2: Convert to fraction form
    325,779.86/488,694.78 = 109,639.64/x
  3. Step 3: Cross multiply
    325,779.86x = 488,694.78 × 109,639.64
  4. Step 4: Simplify right side
    325,779.86x = 53,580,320,970.82
  5. Step 5: Solve for x
    x = 53,580,320,970.82/325,779.86
  6. Step 6: Final answer
    x = 164,467.87

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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.