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Finding the Fourth Proportional to 512,903.10, 769,986.45 and 323,363.10

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Solution

The fourth proportional to 512,903.10, 769,986.45 and 323,363.10 is: 485,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,903.10 : 769,986.45 = 323,363.10 : x
  2. Step 2: Convert to fraction form
    512,903.10/769,986.45 = 323,363.10/x
  3. Step 3: Cross multiply
    512,903.10x = 769,986.45 × 323,363.10
  4. Step 4: Simplify right side
    512,903.10x = 248,985,205,430.00
  5. Step 5: Solve for x
    x = 248,985,205,430.00/512,903.10
  6. Step 6: Final answer
    x = 485,442.97

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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.