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Finding the Fourth Proportional to 257,077.69, 385,764.09 and 200,759.69

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Solution

The fourth proportional to 257,077.69, 385,764.09 and 200,759.69 is: 301,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,077.69 : 385,764.09 = 200,759.69 : x
  2. Step 2: Convert to fraction form
    257,077.69/385,764.09 = 200,759.69/x
  3. Step 3: Cross multiply
    257,077.69x = 385,764.09 × 200,759.69
  4. Step 4: Simplify right side
    257,077.69x = 77,445,879,333.09
  5. Step 5: Solve for x
    x = 77,445,879,333.09/257,077.69
  6. Step 6: Final answer
    x = 301,254.77

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1.5x scale

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.