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Finding the Fourth Proportional to 449,431.90, 674,150.46 and 149,911.72

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Solution

The fourth proportional to 449,431.90, 674,150.46 and 149,911.72 is: 224,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,431.90 : 674,150.46 = 149,911.72 : x
  2. Step 2: Convert to fraction form
    449,431.90/674,150.46 = 149,911.72/x
  3. Step 3: Cross multiply
    449,431.90x = 674,150.46 × 149,911.72
  4. Step 4: Simplify right side
    449,431.90x = 101,063,054,997.39
  5. Step 5: Solve for x
    x = 101,063,054,997.39/449,431.90
  6. Step 6: Final answer
    x = 224,868.45

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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.