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Finding the Fourth Proportional to 329,021.20, 493,762.20 and 210,979.60

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Solution

The fourth proportional to 329,021.20, 493,762.20 and 210,979.60 is: 316,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,021.20 : 493,762.20 = 210,979.60 : x
  2. Step 2: Convert to fraction form
    329,021.20/493,762.20 = 210,979.60/x
  3. Step 3: Cross multiply
    329,021.20x = 493,762.20 × 210,979.60
  4. Step 4: Simplify right side
    329,021.20x = 104,173,751,451.12
  5. Step 5: Solve for x
    x = 104,173,751,451.12/329,021.20
  6. Step 6: Final answer
    x = 316,617.14

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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.