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Finding the Fourth Proportional to 354,099.96, 488,642.58 and 201,137.67

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Solution

The fourth proportional to 354,099.96, 488,642.58 and 201,137.67 is: 277,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,099.96 : 488,642.58 = 201,137.67 : x
  2. Step 2: Convert to fraction form
    354,099.96/488,642.58 = 201,137.67/x
  3. Step 3: Cross multiply
    354,099.96x = 488,642.58 × 201,137.67
  4. Step 4: Simplify right side
    354,099.96x = 98,284,430,003.99
  5. Step 5: Solve for x
    x = 98,284,430,003.99/354,099.96
  6. Step 6: Final answer
    x = 277,561.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.