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Finding the Fourth Proportional to 323,406.70, 443,068.78 and 311,285.71

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Solution

The fourth proportional to 323,406.70, 443,068.78 and 311,285.71 is: 426,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,406.70 : 443,068.78 = 311,285.71 : x
  2. Step 2: Convert to fraction form
    323,406.70/443,068.78 = 311,285.71/x
  3. Step 3: Cross multiply
    323,406.70x = 443,068.78 × 311,285.71
  4. Step 4: Simplify right side
    323,406.70x = 137,920,977,875.25
  5. Step 5: Solve for x
    x = 137,920,977,875.25/323,406.70
  6. Step 6: Final answer
    x = 426,462.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.