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Finding the Fourth Proportional to 571,429.45, 857,264.06 and 216,435.61

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Solution

The fourth proportional to 571,429.45, 857,264.06 and 216,435.61 is: 324,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,429.45 : 857,264.06 = 216,435.61 : x
  2. Step 2: Convert to fraction form
    571,429.45/857,264.06 = 216,435.61/x
  3. Step 3: Cross multiply
    571,429.45x = 857,264.06 × 216,435.61
  4. Step 4: Simplify right side
    571,429.45x = 185,542,469,757.18
  5. Step 5: Solve for x
    x = 185,542,469,757.18/571,429.45
  6. Step 6: Final answer
    x = 324,698.82

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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.