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Finding the Fourth Proportional to 331,380.40, 457,310.16 and 180,477.28

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Solution

The fourth proportional to 331,380.40, 457,310.16 and 180,477.28 is: 249,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,380.40 : 457,310.16 = 180,477.28 : x
  2. Step 2: Convert to fraction form
    331,380.40/457,310.16 = 180,477.28/x
  3. Step 3: Cross multiply
    331,380.40x = 457,310.16 × 180,477.28
  4. Step 4: Simplify right side
    331,380.40x = 82,534,093,793.16
  5. Step 5: Solve for x
    x = 82,534,093,793.16/331,380.40
  6. Step 6: Final answer
    x = 249,061.48

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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.