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Finding the Fourth Proportional to 323,523.10, 485,722.05 and 205,425.10

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Solution

The fourth proportional to 323,523.10, 485,722.05 and 205,425.10 is: 308,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,523.10 : 485,722.05 = 205,425.10 : x
  2. Step 2: Convert to fraction form
    323,523.10/485,722.05 = 205,425.10/x
  3. Step 3: Cross multiply
    323,523.10x = 485,722.05 × 205,425.10
  4. Step 4: Simplify right side
    323,523.10x = 99,779,500,693.46
  5. Step 5: Solve for x
    x = 99,779,500,693.46/323,523.10
  6. Step 6: Final answer
    x = 308,415.38

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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.