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Finding the Fourth Proportional to 382,668.30, 574,221.15 and 146,180.70

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Solution

The fourth proportional to 382,668.30, 574,221.15 and 146,180.70 is: 219,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,668.30 : 574,221.15 = 146,180.70 : x
  2. Step 2: Convert to fraction form
    382,668.30/574,221.15 = 146,180.70/x
  3. Step 3: Cross multiply
    382,668.30x = 574,221.15 × 146,180.70
  4. Step 4: Simplify right side
    382,668.30x = 83,940,049,661.81
  5. Step 5: Solve for x
    x = 83,940,049,661.81/382,668.30
  6. Step 6: Final answer
    x = 219,354.59

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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.