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Finding the Fourth Proportional to 443,429.40, 664,378.65 and 206,285.70

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Solution

The fourth proportional to 443,429.40, 664,378.65 and 206,285.70 is: 309,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,429.40 : 664,378.65 = 206,285.70 : x
  2. Step 2: Convert to fraction form
    443,429.40/664,378.65 = 206,285.70/x
  3. Step 3: Cross multiply
    443,429.40x = 664,378.65 × 206,285.70
  4. Step 4: Simplify right side
    443,429.40x = 137,051,814,880.31
  5. Step 5: Solve for x
    x = 137,051,814,880.31/443,429.40
  6. Step 6: Final answer
    x = 309,072.46

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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.