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Finding the Fourth Proportional to 502,308.56, 693,186 and 275,968.64

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Solution

The fourth proportional to 502,308.56, 693,186 and 275,968.64 is: 380,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,308.56 : 693,186 = 275,968.64 : x
  2. Step 2: Convert to fraction form
    502,308.56/693,186 = 275,968.64/x
  3. Step 3: Cross multiply
    502,308.56x = 693,186 × 275,968.64
  4. Step 4: Simplify right side
    502,308.56x = 191,297,597,687.04
  5. Step 5: Solve for x
    x = 191,297,597,687.04/502,308.56
  6. Step 6: Final answer
    x = 380,836.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.