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Finding the Fourth Proportional to 289,692.64, 434,520.33 and 100,147.78

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Solution

The fourth proportional to 289,692.64, 434,520.33 and 100,147.78 is: 150,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,692.64 : 434,520.33 = 100,147.78 : x
  2. Step 2: Convert to fraction form
    289,692.64/434,520.33 = 100,147.78/x
  3. Step 3: Cross multiply
    289,692.64x = 434,520.33 × 100,147.78
  4. Step 4: Simplify right side
    289,692.64x = 43,516,246,414.37
  5. Step 5: Solve for x
    x = 43,516,246,414.37/289,692.64
  6. Step 6: Final answer
    x = 150,215.23

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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.