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Finding the Fourth Proportional to 331,380.30, 457,304.76 and 180,477.30

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Solution

The fourth proportional to 331,380.30, 457,304.76 and 180,477.30 is: 249,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,380.30 : 457,304.76 = 180,477.30 : x
  2. Step 2: Convert to fraction form
    331,380.30/457,304.76 = 180,477.30/x
  3. Step 3: Cross multiply
    331,380.30x = 457,304.76 × 180,477.30
  4. Step 4: Simplify right side
    331,380.30x = 82,533,128,361.95
  5. Step 5: Solve for x
    x = 82,533,128,361.95/331,380.30
  6. Step 6: Final answer
    x = 249,058.64

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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.