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Finding the Fourth Proportional to 330,142.25, 495,069.16 and 116,839.30

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Solution

The fourth proportional to 330,142.25, 495,069.16 and 116,839.30 is: 175,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,142.25 : 495,069.16 = 116,839.30 : x
  2. Step 2: Convert to fraction form
    330,142.25/495,069.16 = 116,839.30/x
  3. Step 3: Cross multiply
    330,142.25x = 495,069.16 × 116,839.30
  4. Step 4: Simplify right side
    330,142.25x = 57,843,534,105.99
  5. Step 5: Solve for x
    x = 57,843,534,105.99/330,142.25
  6. Step 6: Final answer
    x = 175,207.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.