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Finding the Fourth Proportional to 643,559.31, 964,742.94 and 238,525.97

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Solution

The fourth proportional to 643,559.31, 964,742.94 and 238,525.97 is: 357,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,559.31 : 964,742.94 = 238,525.97 : x
  2. Step 2: Convert to fraction form
    643,559.31/964,742.94 = 238,525.97/x
  3. Step 3: Cross multiply
    643,559.31x = 964,742.94 × 238,525.97
  4. Step 4: Simplify right side
    643,559.31x = 230,116,240,740.44
  5. Step 5: Solve for x
    x = 230,116,240,740.44/643,559.31
  6. Step 6: Final answer
    x = 357,568.04

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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.