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Finding the Fourth Proportional to 494,440.80, 742,006.80 and 214,159.20

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Solution

The fourth proportional to 494,440.80, 742,006.80 and 214,159.20 is: 321,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,440.80 : 742,006.80 = 214,159.20 : x
  2. Step 2: Convert to fraction form
    494,440.80/742,006.80 = 214,159.20/x
  3. Step 3: Cross multiply
    494,440.80x = 742,006.80 × 214,159.20
  4. Step 4: Simplify right side
    494,440.80x = 158,907,582,682.56
  5. Step 5: Solve for x
    x = 158,907,582,682.56/494,440.80
  6. Step 6: Final answer
    x = 321,388.49

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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.