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Finding the Fourth Proportional to 361,043.80, 498,258.86 and 199,916.64

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Solution

The fourth proportional to 361,043.80, 498,258.86 and 199,916.64 is: 275,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,043.80 : 498,258.86 = 199,916.64 : x
  2. Step 2: Convert to fraction form
    361,043.80/498,258.86 = 199,916.64/x
  3. Step 3: Cross multiply
    361,043.80x = 498,258.86 × 199,916.64
  4. Step 4: Simplify right side
    361,043.80x = 99,610,237,141.43
  5. Step 5: Solve for x
    x = 99,610,237,141.43/361,043.80
  6. Step 6: Final answer
    x = 275,895.16

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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.