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Finding the Fourth Proportional to 265,470.45, 398,205.68 and 78,481.95

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Solution

The fourth proportional to 265,470.45, 398,205.68 and 78,481.95 is: 117,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,470.45 : 398,205.68 = 78,481.95 : x
  2. Step 2: Convert to fraction form
    265,470.45/398,205.68 = 78,481.95/x
  3. Step 3: Cross multiply
    265,470.45x = 398,205.68 × 78,481.95
  4. Step 4: Simplify right side
    265,470.45x = 31,251,957,875.07
  5. Step 5: Solve for x
    x = 31,251,957,875.07/265,470.45
  6. Step 6: Final answer
    x = 117,722.93

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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.