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Finding the Fourth Proportional to 501,255.73, 691,668.97 and 286,409.71

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Solution

The fourth proportional to 501,255.73, 691,668.97 and 286,409.71 is: 395,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,255.73 : 691,668.97 = 286,409.71 : x
  2. Step 2: Convert to fraction form
    501,255.73/691,668.97 = 286,409.71/x
  3. Step 3: Cross multiply
    501,255.73x = 691,668.97 × 286,409.71
  4. Step 4: Simplify right side
    501,255.73x = 198,100,709,113.70
  5. Step 5: Solve for x
    x = 198,100,709,113.70/501,255.73
  6. Step 6: Final answer
    x = 395,208.87

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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.