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Finding the Fourth Proportional to 494,640.56, 742,077.80 and 393,819.84

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Solution

The fourth proportional to 494,640.56, 742,077.80 and 393,819.84 is: 590,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,640.56 : 742,077.80 = 393,819.84 : x
  2. Step 2: Convert to fraction form
    494,640.56/742,077.80 = 393,819.84/x
  3. Step 3: Cross multiply
    494,640.56x = 742,077.80 × 393,819.84
  4. Step 4: Simplify right side
    494,640.56x = 292,244,960,463.55
  5. Step 5: Solve for x
    x = 292,244,960,463.55/494,640.56
  6. Step 6: Final answer
    x = 590,822.88

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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.