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Finding the Fourth Proportional to 289,782.70, 434,090.85 and 201,136.30

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Solution

The fourth proportional to 289,782.70, 434,090.85 and 201,136.30 is: 301,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,782.70 : 434,090.85 = 201,136.30 : x
  2. Step 2: Convert to fraction form
    289,782.70/434,090.85 = 201,136.30/x
  3. Step 3: Cross multiply
    289,782.70x = 434,090.85 × 201,136.30
  4. Step 4: Simplify right side
    289,782.70x = 87,311,427,432.86
  5. Step 5: Solve for x
    x = 87,311,427,432.86/289,782.70
  6. Step 6: Final answer
    x = 301,299.65

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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.