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Finding the Fourth Proportional to 378,814.82, 522,961 and 276,725.66

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Solution

The fourth proportional to 378,814.82, 522,961 and 276,725.66 is: 382,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,814.82 : 522,961 = 276,725.66 : x
  2. Step 2: Convert to fraction form
    378,814.82/522,961 = 276,725.66/x
  3. Step 3: Cross multiply
    378,814.82x = 522,961 × 276,725.66
  4. Step 4: Simplify right side
    378,814.82x = 144,716,727,879.26
  5. Step 5: Solve for x
    x = 144,716,727,879.26/378,814.82
  6. Step 6: Final answer
    x = 382,024.99

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1.5x scale

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.