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Finding the Fourth Proportional to 397,097.84, 547,789.74 and 245,932.40

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Solution

The fourth proportional to 397,097.84, 547,789.74 and 245,932.40 is: 339,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,097.84 : 547,789.74 = 245,932.40 : x
  2. Step 2: Convert to fraction form
    397,097.84/547,789.74 = 245,932.40/x
  3. Step 3: Cross multiply
    397,097.84x = 547,789.74 × 245,932.40
  4. Step 4: Simplify right side
    397,097.84x = 134,719,245,900.80
  5. Step 5: Solve for x
    x = 134,719,245,900.80/397,097.84
  6. Step 6: Final answer
    x = 339,259.58

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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.