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Finding the Fourth Proportional to 289,668.60, 399,766.20 and 160,619.90

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Solution

The fourth proportional to 289,668.60, 399,766.20 and 160,619.90 is: 221,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,668.60 : 399,766.20 = 160,619.90 : x
  2. Step 2: Convert to fraction form
    289,668.60/399,766.20 = 160,619.90/x
  3. Step 3: Cross multiply
    289,668.60x = 399,766.20 × 160,619.90
  4. Step 4: Simplify right side
    289,668.60x = 64,210,407,067.38
  5. Step 5: Solve for x
    x = 64,210,407,067.38/289,668.60
  6. Step 6: Final answer
    x = 221,668.51

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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.