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Finding the Fourth Proportional to 330,200.20, 495,300.30 and 328,231.90

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Solution

The fourth proportional to 330,200.20, 495,300.30 and 328,231.90 is: 492,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,200.20 : 495,300.30 = 328,231.90 : x
  2. Step 2: Convert to fraction form
    330,200.20/495,300.30 = 328,231.90/x
  3. Step 3: Cross multiply
    330,200.20x = 495,300.30 × 328,231.90
  4. Step 4: Simplify right side
    330,200.20x = 162,573,358,539.57
  5. Step 5: Solve for x
    x = 162,573,358,539.57/330,200.20
  6. Step 6: Final answer
    x = 492,347.85

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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.