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Finding the Fourth Proportional to 309,180.60, 463,722.30 and 109,472.40

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Solution

The fourth proportional to 309,180.60, 463,722.30 and 109,472.40 is: 164,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,180.60 : 463,722.30 = 109,472.40 : x
  2. Step 2: Convert to fraction form
    309,180.60/463,722.30 = 109,472.40/x
  3. Step 3: Cross multiply
    309,180.60x = 463,722.30 × 109,472.40
  4. Step 4: Simplify right side
    309,180.60x = 50,764,793,114.52
  5. Step 5: Solve for x
    x = 50,764,793,114.52/309,180.60
  6. Step 6: Final answer
    x = 164,191.39

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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.