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Finding the Fourth Proportional to 365,354.10, 547,971.39 and 128,641.14

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Solution

The fourth proportional to 365,354.10, 547,971.39 and 128,641.14 is: 192,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,354.10 : 547,971.39 = 128,641.14 : x
  2. Step 2: Convert to fraction form
    365,354.10/547,971.39 = 128,641.14/x
  3. Step 3: Cross multiply
    365,354.10x = 547,971.39 × 128,641.14
  4. Step 4: Simplify right side
    365,354.10x = 70,491,664,296.98
  5. Step 5: Solve for x
    x = 70,491,664,296.98/365,354.10
  6. Step 6: Final answer
    x = 192,940.67

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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.