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Finding the Fourth Proportional to 285,474.72, 428,234.16 and 85,779.36

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Solution

The fourth proportional to 285,474.72, 428,234.16 and 85,779.36 is: 128,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,474.72 : 428,234.16 = 85,779.36 : x
  2. Step 2: Convert to fraction form
    285,474.72/428,234.16 = 85,779.36/x
  3. Step 3: Cross multiply
    285,474.72x = 428,234.16 × 85,779.36
  4. Step 4: Simplify right side
    285,474.72x = 36,733,652,174.94
  5. Step 5: Solve for x
    x = 36,733,652,174.94/285,474.72
  6. Step 6: Final answer
    x = 128,675.67

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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.