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Finding the Fourth Proportional to 443,322.70, 664,984.05 and 308,020.30

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Solution

The fourth proportional to 443,322.70, 664,984.05 and 308,020.30 is: 462,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,322.70 : 664,984.05 = 308,020.30 : x
  2. Step 2: Convert to fraction form
    443,322.70/664,984.05 = 308,020.30/x
  3. Step 3: Cross multiply
    443,322.70x = 664,984.05 × 308,020.30
  4. Step 4: Simplify right side
    443,322.70x = 204,828,586,576.22
  5. Step 5: Solve for x
    x = 204,828,586,576.22/443,322.70
  6. Step 6: Final answer
    x = 462,030.45

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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.