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Finding the Fourth Proportional to 289,901.37, 434,893.08 and 90,241.94

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Solution

The fourth proportional to 289,901.37, 434,893.08 and 90,241.94 is: 135,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901.37 : 434,893.08 = 90,241.94 : x
  2. Step 2: Convert to fraction form
    289,901.37/434,893.08 = 90,241.94/x
  3. Step 3: Cross multiply
    289,901.37x = 434,893.08 × 90,241.94
  4. Step 4: Simplify right side
    289,901.37x = 39,245,596,657.42
  5. Step 5: Solve for x
    x = 39,245,596,657.42/289,901.37
  6. Step 6: Final answer
    x = 135,375.68

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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.