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Finding the Fourth Proportional to 397,807.89, 548,977.17 and 216,519.38

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Solution

The fourth proportional to 397,807.89, 548,977.17 and 216,519.38 is: 298,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,807.89 : 548,977.17 = 216,519.38 : x
  2. Step 2: Convert to fraction form
    397,807.89/548,977.17 = 216,519.38/x
  3. Step 3: Cross multiply
    397,807.89x = 548,977.17 × 216,519.38
  4. Step 4: Simplify right side
    397,807.89x = 118,864,196,482.56
  5. Step 5: Solve for x
    x = 118,864,196,482.56/397,807.89
  6. Step 6: Final answer
    x = 298,797.99

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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.