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Finding the Fourth Proportional to 329,020.20, 493,760.70 and 210,978.60

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Solution

The fourth proportional to 329,020.20, 493,760.70 and 210,978.60 is: 316,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,020.20 : 493,760.70 = 210,978.60 : x
  2. Step 2: Convert to fraction form
    329,020.20/493,760.70 = 210,978.60/x
  3. Step 3: Cross multiply
    329,020.20x = 493,760.70 × 210,978.60
  4. Step 4: Simplify right side
    329,020.20x = 104,172,941,221.02
  5. Step 5: Solve for x
    x = 104,172,941,221.02/329,020.20
  6. Step 6: Final answer
    x = 316,615.64

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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.