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Finding the Fourth Proportional to 537,286.24, 741,372.78 and 310,888

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Solution

The fourth proportional to 537,286.24, 741,372.78 and 310,888 is: 428,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,286.24 : 741,372.78 = 310,888 : x
  2. Step 2: Convert to fraction form
    537,286.24/741,372.78 = 310,888/x
  3. Step 3: Cross multiply
    537,286.24x = 741,372.78 × 310,888
  4. Step 4: Simplify right side
    537,286.24x = 230,483,900,828.64
  5. Step 5: Solve for x
    x = 230,483,900,828.64/537,286.24
  6. Step 6: Final answer
    x = 428,977.86

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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.