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Finding the Fourth Proportional to 226,980, 313,254.36 and 126,378

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Solution

The fourth proportional to 226,980, 313,254.36 and 126,378 is: 174,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,980 : 313,254.36 = 126,378 : x
  2. Step 2: Convert to fraction form
    226,980/313,254.36 = 126,378/x
  3. Step 3: Cross multiply
    226,980x = 313,254.36 × 126,378
  4. Step 4: Simplify right side
    226,980x = 39,588,459,508.08
  5. Step 5: Solve for x
    x = 39,588,459,508.08/226,980
  6. Step 6: Final answer
    x = 174,413.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.