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Finding the Fourth Proportional to 280,726.56, 421,230.60 and 130,978.80

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Solution

The fourth proportional to 280,726.56, 421,230.60 and 130,978.80 is: 196,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,726.56 : 421,230.60 = 130,978.80 : x
  2. Step 2: Convert to fraction form
    280,726.56/421,230.60 = 130,978.80/x
  3. Step 3: Cross multiply
    280,726.56x = 421,230.60 × 130,978.80
  4. Step 4: Simplify right side
    280,726.56x = 55,172,278,511.28
  5. Step 5: Solve for x
    x = 55,172,278,511.28/280,726.56
  6. Step 6: Final answer
    x = 196,533.87

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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.