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Finding the Fourth Proportional to 289,351.26, 399,300.39 and 160,289.33

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Solution

The fourth proportional to 289,351.26, 399,300.39 and 160,289.33 is: 221,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,351.26 : 399,300.39 = 160,289.33 : x
  2. Step 2: Convert to fraction form
    289,351.26/399,300.39 = 160,289.33/x
  3. Step 3: Cross multiply
    289,351.26x = 399,300.39 × 160,289.33
  4. Step 4: Simplify right side
    289,351.26x = 64,003,589,985.34
  5. Step 5: Solve for x
    x = 64,003,589,985.34/289,351.26
  6. Step 6: Final answer
    x = 221,196.86

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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.