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Finding the Fourth Proportional to 289,720.56, 434,491.88 and 200,337.58

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Solution

The fourth proportional to 289,720.56, 434,491.88 and 200,337.58 is: 300,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,720.56 : 434,491.88 = 200,337.58 : x
  2. Step 2: Convert to fraction form
    289,720.56/434,491.88 = 200,337.58/x
  3. Step 3: Cross multiply
    289,720.56x = 434,491.88 × 200,337.58
  4. Step 4: Simplify right side
    289,720.56x = 87,045,051,768.85
  5. Step 5: Solve for x
    x = 87,045,051,768.85/289,720.56
  6. Step 6: Final answer
    x = 300,444.86

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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.