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Finding the Fourth Proportional to 325,920.32, 488,954.08 and 148,379.84

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Solution

The fourth proportional to 325,920.32, 488,954.08 and 148,379.84 is: 222,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,920.32 : 488,954.08 = 148,379.84 : x
  2. Step 2: Convert to fraction form
    325,920.32/488,954.08 = 148,379.84/x
  3. Step 3: Cross multiply
    325,920.32x = 488,954.08 × 148,379.84
  4. Step 4: Simplify right side
    325,920.32x = 72,550,928,157.75
  5. Step 5: Solve for x
    x = 72,550,928,157.75/325,920.32
  6. Step 6: Final answer
    x = 222,603.27

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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.