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Finding the Fourth Proportional to 442,950.20, 664,425.30 and 162,576.80

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Solution

The fourth proportional to 442,950.20, 664,425.30 and 162,576.80 is: 243,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,950.20 : 664,425.30 = 162,576.80 : x
  2. Step 2: Convert to fraction form
    442,950.20/664,425.30 = 162,576.80/x
  3. Step 3: Cross multiply
    442,950.20x = 664,425.30 × 162,576.80
  4. Step 4: Simplify right side
    442,950.20x = 108,020,139,113.04
  5. Step 5: Solve for x
    x = 108,020,139,113.04/442,950.20
  6. Step 6: Final answer
    x = 243,865.20

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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.