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Finding the Fourth Proportional to 342,181.94, 472,214.14 and 189,230.42

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Solution

The fourth proportional to 342,181.94, 472,214.14 and 189,230.42 is: 261,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,181.94 : 472,214.14 = 189,230.42 : x
  2. Step 2: Convert to fraction form
    342,181.94/472,214.14 = 189,230.42/x
  3. Step 3: Cross multiply
    342,181.94x = 472,214.14 × 189,230.42
  4. Step 4: Simplify right side
    342,181.94x = 89,357,280,042.14
  5. Step 5: Solve for x
    x = 89,357,280,042.14/342,181.94
  6. Step 6: Final answer
    x = 261,139.67

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1.5x scale

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.