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Finding the Fourth Proportional to 342,317.11, 472,361.25 and 189,331

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Solution

The fourth proportional to 342,317.11, 472,361.25 and 189,331 is: 261,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,317.11 : 472,361.25 = 189,331 : x
  2. Step 2: Convert to fraction form
    342,317.11/472,361.25 = 189,331/x
  3. Step 3: Cross multiply
    342,317.11x = 472,361.25 × 189,331
  4. Step 4: Simplify right side
    342,317.11x = 89,432,627,823.75
  5. Step 5: Solve for x
    x = 89,432,627,823.75/342,317.11
  6. Step 6: Final answer
    x = 261,256.67

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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.