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Finding the Fourth Proportional to 270,772, 406,158 and 73,780

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Solution

The fourth proportional to 270,772, 406,158 and 73,780 is: 110,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,772 : 406,158 = 73,780 : x
  2. Step 2: Convert to fraction form
    270,772/406,158 = 73,780/x
  3. Step 3: Cross multiply
    270,772x = 406,158 × 73,780
  4. Step 4: Simplify right side
    270,772x = 29,966,337,240
  5. Step 5: Solve for x
    x = 29,966,337,240/270,772
  6. Step 6: Final answer
    x = 110,670

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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.