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Finding the Fourth Proportional to 257,296.90, 385,982.74 and 79,818.06

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Solution

The fourth proportional to 257,296.90, 385,982.74 and 79,818.06 is: 119,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,296.90 : 385,982.74 = 79,818.06 : x
  2. Step 2: Convert to fraction form
    257,296.90/385,982.74 = 79,818.06/x
  3. Step 3: Cross multiply
    257,296.90x = 385,982.74 × 79,818.06
  4. Step 4: Simplify right side
    257,296.90x = 30,808,393,500.28
  5. Step 5: Solve for x
    x = 30,808,393,500.28/257,296.90
  6. Step 6: Final answer
    x = 119,738.69

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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.