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Finding the Fourth Proportional to 270,738, 406,107 and 73,746

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Solution

The fourth proportional to 270,738, 406,107 and 73,746 is: 110,619

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,738 : 406,107 = 73,746 : x
  2. Step 2: Convert to fraction form
    270,738/406,107 = 73,746/x
  3. Step 3: Cross multiply
    270,738x = 406,107 × 73,746
  4. Step 4: Simplify right side
    270,738x = 29,948,766,822
  5. Step 5: Solve for x
    x = 29,948,766,822/270,738
  6. Step 6: Final answer
    x = 110,619

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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.