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Finding the Fourth Proportional to 330,396.96, 455,904.18 and 209,324.64

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Solution

The fourth proportional to 330,396.96, 455,904.18 and 209,324.64 is: 288,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,396.96 : 455,904.18 = 209,324.64 : x
  2. Step 2: Convert to fraction form
    330,396.96/455,904.18 = 209,324.64/x
  3. Step 3: Cross multiply
    330,396.96x = 455,904.18 × 209,324.64
  4. Step 4: Simplify right side
    330,396.96x = 95,431,978,353.00
  5. Step 5: Solve for x
    x = 95,431,978,353.00/330,396.96
  6. Step 6: Final answer
    x = 288,840.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.