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Finding the Fourth Proportional to 514,402.75, 771,604.21 and 214,719.85

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Solution

The fourth proportional to 514,402.75, 771,604.21 and 214,719.85 is: 322,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,402.75 : 771,604.21 = 214,719.85 : x
  2. Step 2: Convert to fraction form
    514,402.75/771,604.21 = 214,719.85/x
  3. Step 3: Cross multiply
    514,402.75x = 771,604.21 × 214,719.85
  4. Step 4: Simplify right side
    514,402.75x = 165,678,740,230.57
  5. Step 5: Solve for x
    x = 165,678,740,230.57/514,402.75
  6. Step 6: Final answer
    x = 322,079.81

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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.