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Finding the Fourth Proportional to 427,786.33, 642,310.31 and 238,616.30

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Solution

The fourth proportional to 427,786.33, 642,310.31 and 238,616.30 is: 358,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,786.33 : 642,310.31 = 238,616.30 : x
  2. Step 2: Convert to fraction form
    427,786.33/642,310.31 = 238,616.30/x
  3. Step 3: Cross multiply
    427,786.33x = 642,310.31 × 238,616.30
  4. Step 4: Simplify right side
    427,786.33x = 153,265,709,624.05
  5. Step 5: Solve for x
    x = 153,265,709,624.05/427,786.33
  6. Step 6: Final answer
    x = 358,276.31

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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.