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Finding the Fourth Proportional to 402,255.45, 603,373.84 and 202,522.21

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Solution

The fourth proportional to 402,255.45, 603,373.84 and 202,522.21 is: 303,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,255.45 : 603,373.84 = 202,522.21 : x
  2. Step 2: Convert to fraction form
    402,255.45/603,373.84 = 202,522.21/x
  3. Step 3: Cross multiply
    402,255.45x = 603,373.84 × 202,522.21
  4. Step 4: Simplify right side
    402,255.45x = 122,196,603,532.99
  5. Step 5: Solve for x
    x = 122,196,603,532.99/402,255.45
  6. Step 6: Final answer
    x = 303,778.62

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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.