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Finding the Fourth Proportional to 329,740.80, 494,611.20 and 211,642.80

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Solution

The fourth proportional to 329,740.80, 494,611.20 and 211,642.80 is: 317,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,740.80 : 494,611.20 = 211,642.80 : x
  2. Step 2: Convert to fraction form
    329,740.80/494,611.20 = 211,642.80/x
  3. Step 3: Cross multiply
    329,740.80x = 494,611.20 × 211,642.80
  4. Step 4: Simplify right side
    329,740.80x = 104,680,899,279.36
  5. Step 5: Solve for x
    x = 104,680,899,279.36/329,740.80
  6. Step 6: Final answer
    x = 317,464.20

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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.