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Finding the Fourth Proportional to 329,004.80, 493,507.20 and 305,385.20

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Solution

The fourth proportional to 329,004.80, 493,507.20 and 305,385.20 is: 458,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,004.80 : 493,507.20 = 305,385.20 : x
  2. Step 2: Convert to fraction form
    329,004.80/493,507.20 = 305,385.20/x
  3. Step 3: Cross multiply
    329,004.80x = 493,507.20 × 305,385.20
  4. Step 4: Simplify right side
    329,004.80x = 150,709,794,973.44
  5. Step 5: Solve for x
    x = 150,709,794,973.44/329,004.80
  6. Step 6: Final answer
    x = 458,077.80

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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.