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Finding the Fourth Proportional to 329,714.10, 494,473.95 and 129,968.10

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Solution

The fourth proportional to 329,714.10, 494,473.95 and 129,968.10 is: 194,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,714.10 : 494,473.95 = 129,968.10 : x
  2. Step 2: Convert to fraction form
    329,714.10/494,473.95 = 129,968.10/x
  3. Step 3: Cross multiply
    329,714.10x = 494,473.95 × 129,968.10
  4. Step 4: Simplify right side
    329,714.10x = 64,265,839,781.00
  5. Step 5: Solve for x
    x = 64,265,839,781.00/329,714.10
  6. Step 6: Final answer
    x = 194,913.84

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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.