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Finding the Fourth Proportional to 270,329.76, 405,520.56 and 120,564

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Solution

The fourth proportional to 270,329.76, 405,520.56 and 120,564 is: 180,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,329.76 : 405,520.56 = 120,564 : x
  2. Step 2: Convert to fraction form
    270,329.76/405,520.56 = 120,564/x
  3. Step 3: Cross multiply
    270,329.76x = 405,520.56 × 120,564
  4. Step 4: Simplify right side
    270,329.76x = 48,891,180,795.84
  5. Step 5: Solve for x
    x = 48,891,180,795.84/270,329.76
  6. Step 6: Final answer
    x = 180,857.56

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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.