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Finding the Fourth Proportional to 443,103, 664,930.98 and 180,447

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Solution

The fourth proportional to 443,103, 664,930.98 and 180,447 is: 270,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,103 : 664,930.98 = 180,447 : x
  2. Step 2: Convert to fraction form
    443,103/664,930.98 = 180,447/x
  3. Step 3: Cross multiply
    443,103x = 664,930.98 × 180,447
  4. Step 4: Simplify right side
    443,103x = 119,984,800,548.06
  5. Step 5: Solve for x
    x = 119,984,800,548.06/443,103
  6. Step 6: Final answer
    x = 270,783.09

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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.