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Finding the Fourth Proportional to 649,755.84, 974,139.84 and 449,544

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Solution

The fourth proportional to 649,755.84, 974,139.84 and 449,544 is: 673,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,755.84 : 974,139.84 = 449,544 : x
  2. Step 2: Convert to fraction form
    649,755.84/974,139.84 = 449,544/x
  3. Step 3: Cross multiply
    649,755.84x = 974,139.84 × 449,544
  4. Step 4: Simplify right side
    649,755.84x = 437,918,720,232.96
  5. Step 5: Solve for x
    x = 437,918,720,232.96/649,755.84
  6. Step 6: Final answer
    x = 673,974.27

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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.