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Finding the Fourth Proportional to 276,518.92, 414,999.87 and 126,829.75

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Solution

The fourth proportional to 276,518.92, 414,999.87 and 126,829.75 is: 190,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,518.92 : 414,999.87 = 126,829.75 : x
  2. Step 2: Convert to fraction form
    276,518.92/414,999.87 = 126,829.75/x
  3. Step 3: Cross multiply
    276,518.92x = 414,999.87 × 126,829.75
  4. Step 4: Simplify right side
    276,518.92x = 52,634,329,762.13
  5. Step 5: Solve for x
    x = 52,634,329,762.13/276,518.92
  6. Step 6: Final answer
    x = 190,346.21

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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.