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Finding the Fourth Proportional to 265,846.64, 398,769.92 and 78,856.52

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Solution

The fourth proportional to 265,846.64, 398,769.92 and 78,856.52 is: 118,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,846.64 : 398,769.92 = 78,856.52 : x
  2. Step 2: Convert to fraction form
    265,846.64/398,769.92 = 78,856.52/x
  3. Step 3: Cross multiply
    265,846.64x = 398,769.92 × 78,856.52
  4. Step 4: Simplify right side
    265,846.64x = 31,445,608,171.88
  5. Step 5: Solve for x
    x = 31,445,608,171.88/265,846.64
  6. Step 6: Final answer
    x = 118,284.77

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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.