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Finding the Fourth Proportional to 330,065.21, 495,073.21 and 105,449.38

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Solution

The fourth proportional to 330,065.21, 495,073.21 and 105,449.38 is: 158,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,065.21 : 495,073.21 = 105,449.38 : x
  2. Step 2: Convert to fraction form
    330,065.21/495,073.21 = 105,449.38/x
  3. Step 3: Cross multiply
    330,065.21x = 495,073.21 × 105,449.38
  4. Step 4: Simplify right side
    330,065.21x = 52,205,163,049.11
  5. Step 5: Solve for x
    x = 52,205,163,049.11/330,065.21
  6. Step 6: Final answer
    x = 158,166.21

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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.