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Finding the Fourth Proportional to 513,916.27, 770,819 and 134,874.99

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Solution

The fourth proportional to 513,916.27, 770,819 and 134,874.99 is: 202,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,916.27 : 770,819 = 134,874.99 : x
  2. Step 2: Convert to fraction form
    513,916.27/770,819 = 134,874.99/x
  3. Step 3: Cross multiply
    513,916.27x = 770,819 × 134,874.99
  4. Step 4: Simplify right side
    513,916.27x = 103,964,204,916.81
  5. Step 5: Solve for x
    x = 103,964,204,916.81/513,916.27
  6. Step 6: Final answer
    x = 202,297.95

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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.