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Finding the Fourth Proportional to 329,100.80, 493,651.20 and 292,359.20

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Solution

The fourth proportional to 329,100.80, 493,651.20 and 292,359.20 is: 438,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,100.80 : 493,651.20 = 292,359.20 : x
  2. Step 2: Convert to fraction form
    329,100.80/493,651.20 = 292,359.20/x
  3. Step 3: Cross multiply
    329,100.80x = 493,651.20 × 292,359.20
  4. Step 4: Simplify right side
    329,100.80x = 144,323,469,911.04
  5. Step 5: Solve for x
    x = 144,323,469,911.04/329,100.80
  6. Step 6: Final answer
    x = 438,538.80

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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.