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Finding the Fourth Proportional to 331,398.30, 457,329.60 and 180,495.30

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Solution

The fourth proportional to 331,398.30, 457,329.60 and 180,495.30 is: 249,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,398.30 : 457,329.60 = 180,495.30 : x
  2. Step 2: Convert to fraction form
    331,398.30/457,329.60 = 180,495.30/x
  3. Step 3: Cross multiply
    331,398.30x = 457,329.60 × 180,495.30
  4. Step 4: Simplify right side
    331,398.30x = 82,545,843,350.88
  5. Step 5: Solve for x
    x = 82,545,843,350.88/331,398.30
  6. Step 6: Final answer
    x = 249,083.48

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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.