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Finding the Fourth Proportional to 443,021.72, 664,542 and 158,730.80

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Solution

The fourth proportional to 443,021.72, 664,542 and 158,730.80 is: 238,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,021.72 : 664,542 = 158,730.80 : x
  2. Step 2: Convert to fraction form
    443,021.72/664,542 = 158,730.80/x
  3. Step 3: Cross multiply
    443,021.72x = 664,542 × 158,730.80
  4. Step 4: Simplify right side
    443,021.72x = 105,483,283,293.60
  5. Step 5: Solve for x
    x = 105,483,283,293.60/443,021.72
  6. Step 6: Final answer
    x = 238,099.58

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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.