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Finding the Fourth Proportional to 329,820.20, 494,514.30 and 130,020.20

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Solution

The fourth proportional to 329,820.20, 494,514.30 and 130,020.20 is: 194,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,820.20 : 494,514.30 = 130,020.20 : x
  2. Step 2: Convert to fraction form
    329,820.20/494,514.30 = 130,020.20/x
  3. Step 3: Cross multiply
    329,820.20x = 494,514.30 × 130,020.20
  4. Step 4: Simplify right side
    329,820.20x = 64,296,848,188.86
  5. Step 5: Solve for x
    x = 64,296,848,188.86/329,820.20
  6. Step 6: Final answer
    x = 194,945.15

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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.