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Finding the Fourth Proportional to 368,208.92, 508,190.64 and 213,137.76

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Solution

The fourth proportional to 368,208.92, 508,190.64 and 213,137.76 is: 294,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,208.92 : 508,190.64 = 213,137.76 : x
  2. Step 2: Convert to fraction form
    368,208.92/508,190.64 = 213,137.76/x
  3. Step 3: Cross multiply
    368,208.92x = 508,190.64 × 213,137.76
  4. Step 4: Simplify right side
    368,208.92x = 108,314,614,662.57
  5. Step 5: Solve for x
    x = 108,314,614,662.57/368,208.92
  6. Step 6: Final answer
    x = 294,166.19

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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.