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Finding the Fourth Proportional to 619,467.20, 928,829.04 and 214,526

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Solution

The fourth proportional to 619,467.20, 928,829.04 and 214,526 is: 321,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,467.20 : 928,829.04 = 214,526 : x
  2. Step 2: Convert to fraction form
    619,467.20/928,829.04 = 214,526/x
  3. Step 3: Cross multiply
    619,467.20x = 928,829.04 × 214,526
  4. Step 4: Simplify right side
    619,467.20x = 199,257,978,635.04
  5. Step 5: Solve for x
    x = 199,257,978,635.04/619,467.20
  6. Step 6: Final answer
    x = 321,660.26

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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.