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Finding the Fourth Proportional to 325,698.72, 488,509.20 and 138,763.68

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Solution

The fourth proportional to 325,698.72, 488,509.20 and 138,763.68 is: 208,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,698.72 : 488,509.20 = 138,763.68 : x
  2. Step 2: Convert to fraction form
    325,698.72/488,509.20 = 138,763.68/x
  3. Step 3: Cross multiply
    325,698.72x = 488,509.20 × 138,763.68
  4. Step 4: Simplify right side
    325,698.72x = 67,787,334,305.86
  5. Step 5: Solve for x
    x = 67,787,334,305.86/325,698.72
  6. Step 6: Final answer
    x = 208,128.96

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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.