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Finding the Fourth Proportional to 257,855.40, 385,689.60 and 231,392.70

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Solution

The fourth proportional to 257,855.40, 385,689.60 and 231,392.70 is: 346,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,855.40 : 385,689.60 = 231,392.70 : x
  2. Step 2: Convert to fraction form
    257,855.40/385,689.60 = 231,392.70/x
  3. Step 3: Cross multiply
    257,855.40x = 385,689.60 × 231,392.70
  4. Step 4: Simplify right side
    257,855.40x = 89,245,757,905.92
  5. Step 5: Solve for x
    x = 89,245,757,905.92/257,855.40
  6. Step 6: Final answer
    x = 346,107.77

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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.