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Finding the Fourth Proportional to 329,165.20, 493,978.20 and 211,123.60

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Solution

The fourth proportional to 329,165.20, 493,978.20 and 211,123.60 is: 316,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,165.20 : 493,978.20 = 211,123.60 : x
  2. Step 2: Convert to fraction form
    329,165.20/493,978.20 = 211,123.60/x
  3. Step 3: Cross multiply
    329,165.20x = 493,978.20 × 211,123.60
  4. Step 4: Simplify right side
    329,165.20x = 104,290,455,905.52
  5. Step 5: Solve for x
    x = 104,290,455,905.52/329,165.20
  6. Step 6: Final answer
    x = 316,833.18

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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.