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Finding the Fourth Proportional to 376,205.85, 564,287.31 and 275,107.32

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Solution

The fourth proportional to 376,205.85, 564,287.31 and 275,107.32 is: 412,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,205.85 : 564,287.31 = 275,107.32 : x
  2. Step 2: Convert to fraction form
    376,205.85/564,287.31 = 275,107.32/x
  3. Step 3: Cross multiply
    376,205.85x = 564,287.31 × 275,107.32
  4. Step 4: Simplify right side
    376,205.85x = 155,239,569,564.11
  5. Step 5: Solve for x
    x = 155,239,569,564.11/376,205.85
  6. Step 6: Final answer
    x = 412,645.28

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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.