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Finding the Fourth Proportional to 280,906.16, 421,401.17 and 103,399.67

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Solution

The fourth proportional to 280,906.16, 421,401.17 and 103,399.67 is: 155,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,906.16 : 421,401.17 = 103,399.67 : x
  2. Step 2: Convert to fraction form
    280,906.16/421,401.17 = 103,399.67/x
  3. Step 3: Cross multiply
    280,906.16x = 421,401.17 × 103,399.67
  4. Step 4: Simplify right side
    280,906.16x = 43,572,743,227.62
  5. Step 5: Solve for x
    x = 43,572,743,227.62/280,906.16
  6. Step 6: Final answer
    x = 155,114.95

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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.