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Finding the Fourth Proportional to 402,743.45, 603,716.09 and 189,128.97

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Solution

The fourth proportional to 402,743.45, 603,716.09 and 189,128.97 is: 283,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,743.45 : 603,716.09 = 189,128.97 : x
  2. Step 2: Convert to fraction form
    402,743.45/603,716.09 = 189,128.97/x
  3. Step 3: Cross multiply
    402,743.45x = 603,716.09 × 189,128.97
  4. Step 4: Simplify right side
    402,743.45x = 114,180,201,328.48
  5. Step 5: Solve for x
    x = 114,180,201,328.48/402,743.45
  6. Step 6: Final answer
    x = 283,506.04

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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.