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Finding the Fourth Proportional to 325,806.30, 488,643.78 and 89,172.90

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Solution

The fourth proportional to 325,806.30, 488,643.78 and 89,172.90 is: 133,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,806.30 : 488,643.78 = 89,172.90 : x
  2. Step 2: Convert to fraction form
    325,806.30/488,643.78 = 89,172.90/x
  3. Step 3: Cross multiply
    325,806.30x = 488,643.78 × 89,172.90
  4. Step 4: Simplify right side
    325,806.30x = 43,573,782,929.56
  5. Step 5: Solve for x
    x = 43,573,782,929.56/325,806.30
  6. Step 6: Final answer
    x = 133,741.38

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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.