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Finding the Fourth Proportional to 378,883.82, 523,056.48 and 276,794.66

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Solution

The fourth proportional to 378,883.82, 523,056.48 and 276,794.66 is: 382,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,883.82 : 523,056.48 = 276,794.66 : x
  2. Step 2: Convert to fraction form
    378,883.82/523,056.48 = 276,794.66/x
  3. Step 3: Cross multiply
    378,883.82x = 523,056.48 × 276,794.66
  4. Step 4: Simplify right side
    378,883.82x = 144,779,240,542.40
  5. Step 5: Solve for x
    x = 144,779,240,542.40/378,883.82
  6. Step 6: Final answer
    x = 382,120.41

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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.