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Finding the Fourth Proportional to 289,910.50, 434,906.78 and 90,251.08

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Solution

The fourth proportional to 289,910.50, 434,906.78 and 90,251.08 is: 135,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,910.50 : 434,906.78 = 90,251.08 : x
  2. Step 2: Convert to fraction form
    289,910.50/434,906.78 = 90,251.08/x
  3. Step 3: Cross multiply
    289,910.50x = 434,906.78 × 90,251.08
  4. Step 4: Simplify right side
    289,910.50x = 39,250,806,594.32
  5. Step 5: Solve for x
    x = 39,250,806,594.32/289,910.50
  6. Step 6: Final answer
    x = 135,389.39

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1.5x scale

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.