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Finding the Fourth Proportional to 325,045.80, 447,287.94 and 287,409.96

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Solution

The fourth proportional to 325,045.80, 447,287.94 and 287,409.96 is: 395,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,045.80 : 447,287.94 = 287,409.96 : x
  2. Step 2: Convert to fraction form
    325,045.80/447,287.94 = 287,409.96/x
  3. Step 3: Cross multiply
    325,045.80x = 447,287.94 × 287,409.96
  4. Step 4: Simplify right side
    325,045.80x = 128,555,008,943.88
  5. Step 5: Solve for x
    x = 128,555,008,943.88/325,045.80
  6. Step 6: Final answer
    x = 395,498.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.