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Finding the Fourth Proportional to 180,306, 270,459 and 48,978

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Solution

The fourth proportional to 180,306, 270,459 and 48,978 is: 73,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,306 : 270,459 = 48,978 : x
  2. Step 2: Convert to fraction form
    180,306/270,459 = 48,978/x
  3. Step 3: Cross multiply
    180,306x = 270,459 × 48,978
  4. Step 4: Simplify right side
    180,306x = 13,246,540,902
  5. Step 5: Solve for x
    x = 13,246,540,902/180,306
  6. Step 6: Final answer
    x = 73,467

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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.