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Finding the Fourth Proportional to 331,409.60, 457,345 and 180,506.60

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Solution

The fourth proportional to 331,409.60, 457,345 and 180,506.60 is: 249,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,409.60 : 457,345 = 180,506.60 : x
  2. Step 2: Convert to fraction form
    331,409.60/457,345 = 180,506.60/x
  3. Step 3: Cross multiply
    331,409.60x = 457,345 × 180,506.60
  4. Step 4: Simplify right side
    331,409.60x = 82,553,790,977
  5. Step 5: Solve for x
    x = 82,553,790,977/331,409.60
  6. Step 6: Final answer
    x = 249,098.97

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1.5x scale

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.