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Finding the Fourth Proportional to 257,146.30, 385,744.78 and 88,644.44

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Solution

The fourth proportional to 257,146.30, 385,744.78 and 88,644.44 is: 132,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,146.30 : 385,744.78 = 88,644.44 : x
  2. Step 2: Convert to fraction form
    257,146.30/385,744.78 = 88,644.44/x
  3. Step 3: Cross multiply
    257,146.30x = 385,744.78 × 88,644.44
  4. Step 4: Simplify right side
    257,146.30x = 34,194,131,081.19
  5. Step 5: Solve for x
    x = 34,194,131,081.19/257,146.30
  6. Step 6: Final answer
    x = 132,975.40

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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.