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Finding the Fourth Proportional to 342,311.32, 472,353.26 and 189,325.20

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Solution

The fourth proportional to 342,311.32, 472,353.26 and 189,325.20 is: 261,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,311.32 : 472,353.26 = 189,325.20 : x
  2. Step 2: Convert to fraction form
    342,311.32/472,353.26 = 189,325.20/x
  3. Step 3: Cross multiply
    342,311.32x = 472,353.26 × 189,325.20
  4. Step 4: Simplify right side
    342,311.32x = 89,428,375,420.15
  5. Step 5: Solve for x
    x = 89,428,375,420.15/342,311.32
  6. Step 6: Final answer
    x = 261,248.67

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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.