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Finding the Fourth Proportional to 265,618, 398,505.03 and 78,634.36

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Solution

The fourth proportional to 265,618, 398,505.03 and 78,634.36 is: 117,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,618 : 398,505.03 = 78,634.36 : x
  2. Step 2: Convert to fraction form
    265,618/398,505.03 = 78,634.36/x
  3. Step 3: Cross multiply
    265,618x = 398,505.03 × 78,634.36
  4. Step 4: Simplify right side
    265,618x = 31,336,187,990.83
  5. Step 5: Solve for x
    x = 31,336,187,990.83/265,618
  6. Step 6: Final answer
    x = 117,974.64

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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.