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Finding the Fourth Proportional to 329,814.20, 494,505.30 and 130,014.20

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Solution

The fourth proportional to 329,814.20, 494,505.30 and 130,014.20 is: 194,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,814.20 : 494,505.30 = 130,014.20 : x
  2. Step 2: Convert to fraction form
    329,814.20/494,505.30 = 130,014.20/x
  3. Step 3: Cross multiply
    329,814.20x = 494,505.30 × 130,014.20
  4. Step 4: Simplify right side
    329,814.20x = 64,292,710,975.26
  5. Step 5: Solve for x
    x = 64,292,710,975.26/329,814.20
  6. Step 6: Final answer
    x = 194,936.15

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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.