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Finding the Fourth Proportional to 402,256.45, 603,375.34 and 202,523.21

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Solution

The fourth proportional to 402,256.45, 603,375.34 and 202,523.21 is: 303,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,256.45 : 603,375.34 = 202,523.21 : x
  2. Step 2: Convert to fraction form
    402,256.45/603,375.34 = 202,523.21/x
  3. Step 3: Cross multiply
    402,256.45x = 603,375.34 × 202,523.21
  4. Step 4: Simplify right side
    402,256.45x = 122,197,510,691.64
  5. Step 5: Solve for x
    x = 122,197,510,691.64/402,256.45
  6. Step 6: Final answer
    x = 303,780.12

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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.