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Finding the Fourth Proportional to 330,149.21, 495,294.82 and 102,440.26

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Solution

The fourth proportional to 330,149.21, 495,294.82 and 102,440.26 is: 153,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,149.21 : 495,294.82 = 102,440.26 : x
  2. Step 2: Convert to fraction form
    330,149.21/495,294.82 = 102,440.26/x
  3. Step 3: Cross multiply
    330,149.21x = 495,294.82 × 102,440.26
  4. Step 4: Simplify right side
    330,149.21x = 50,738,130,137.45
  5. Step 5: Solve for x
    x = 50,738,130,137.45/330,149.21
  6. Step 6: Final answer
    x = 153,682.42

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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.