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Finding the Fourth Proportional to 264,907.91, 397,375.60 and 87,428.76

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Solution

The fourth proportional to 264,907.91, 397,375.60 and 87,428.76 is: 131,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,907.91 : 397,375.60 = 87,428.76 : x
  2. Step 2: Convert to fraction form
    264,907.91/397,375.60 = 87,428.76/x
  3. Step 3: Cross multiply
    264,907.91x = 397,375.60 × 87,428.76
  4. Step 4: Simplify right side
    264,907.91x = 34,742,055,962.26
  5. Step 5: Solve for x
    x = 34,742,055,962.26/264,907.91
  6. Step 6: Final answer
    x = 131,147.67

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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.