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Finding the Fourth Proportional to 443,442.30, 665,163.45 and 310,472.70

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Solution

The fourth proportional to 443,442.30, 665,163.45 and 310,472.70 is: 465,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,442.30 : 665,163.45 = 310,472.70 : x
  2. Step 2: Convert to fraction form
    443,442.30/665,163.45 = 310,472.70/x
  3. Step 3: Cross multiply
    443,442.30x = 665,163.45 × 310,472.70
  4. Step 4: Simplify right side
    443,442.30x = 206,515,092,262.82
  5. Step 5: Solve for x
    x = 206,515,092,262.82/443,442.30
  6. Step 6: Final answer
    x = 465,709.05

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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.