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Finding the Fourth Proportional to 289,625.60, 434,121.60 and 102,540.80

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Solution

The fourth proportional to 289,625.60, 434,121.60 and 102,540.80 is: 153,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,625.60 : 434,121.60 = 102,540.80 : x
  2. Step 2: Convert to fraction form
    289,625.60/434,121.60 = 102,540.80/x
  3. Step 3: Cross multiply
    289,625.60x = 434,121.60 × 102,540.80
  4. Step 4: Simplify right side
    289,625.60x = 44,515,176,161.28
  5. Step 5: Solve for x
    x = 44,515,176,161.28/289,625.60
  6. Step 6: Final answer
    x = 153,699.04

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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.