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Finding the Fourth Proportional to 379,128.42, 568,288.01 and 189,214.80

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Solution

The fourth proportional to 379,128.42, 568,288.01 and 189,214.80 is: 283,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,128.42 : 568,288.01 = 189,214.80 : x
  2. Step 2: Convert to fraction form
    379,128.42/568,288.01 = 189,214.80/x
  3. Step 3: Cross multiply
    379,128.42x = 568,288.01 × 189,214.80
  4. Step 4: Simplify right side
    379,128.42x = 107,528,501,208.47
  5. Step 5: Solve for x
    x = 107,528,501,208.47/379,128.42
  6. Step 6: Final answer
    x = 283,620.26

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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.