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Finding the Fourth Proportional to 380,466.92, 524,969.30 and 217,119.89

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Solution

The fourth proportional to 380,466.92, 524,969.30 and 217,119.89 is: 299,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,466.92 : 524,969.30 = 217,119.89 : x
  2. Step 2: Convert to fraction form
    380,466.92/524,969.30 = 217,119.89/x
  3. Step 3: Cross multiply
    380,466.92x = 524,969.30 × 217,119.89
  4. Step 4: Simplify right side
    380,466.92x = 113,981,278,524.60
  5. Step 5: Solve for x
    x = 113,981,278,524.60/380,466.92
  6. Step 6: Final answer
    x = 299,582.62

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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.