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Finding the Fourth Proportional to 514,296.98, 771,568.64 and 214,610.85

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Solution

The fourth proportional to 514,296.98, 771,568.64 and 214,610.85 is: 321,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,296.98 : 771,568.64 = 214,610.85 : x
  2. Step 2: Convert to fraction form
    514,296.98/771,568.64 = 214,610.85/x
  3. Step 3: Cross multiply
    514,296.98x = 771,568.64 × 214,610.85
  4. Step 4: Simplify right side
    514,296.98x = 165,587,000,590.69
  5. Step 5: Solve for x
    x = 165,587,000,590.69/514,296.98
  6. Step 6: Final answer
    x = 321,967.67

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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.