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Finding the Fourth Proportional to 361,409.04, 498,580.92 and 218,123.28

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Solution

The fourth proportional to 361,409.04, 498,580.92 and 218,123.28 is: 300,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,409.04 : 498,580.92 = 218,123.28 : x
  2. Step 2: Convert to fraction form
    361,409.04/498,580.92 = 218,123.28/x
  3. Step 3: Cross multiply
    361,409.04x = 498,580.92 × 218,123.28
  4. Step 4: Simplify right side
    361,409.04x = 108,752,105,615.82
  5. Step 5: Solve for x
    x = 108,752,105,615.82/361,409.04
  6. Step 6: Final answer
    x = 300,911.41

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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.