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Finding the Fourth Proportional to 435,538.56, 653,311.08 and 120,012.78

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Solution

The fourth proportional to 435,538.56, 653,311.08 and 120,012.78 is: 180,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,538.56 : 653,311.08 = 120,012.78 : x
  2. Step 2: Convert to fraction form
    435,538.56/653,311.08 = 120,012.78/x
  3. Step 3: Cross multiply
    435,538.56x = 653,311.08 × 120,012.78
  4. Step 4: Simplify right side
    435,538.56x = 78,405,678,915.60
  5. Step 5: Solve for x
    x = 78,405,678,915.60/435,538.56
  6. Step 6: Final answer
    x = 180,020.06

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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.