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Finding the Fourth Proportional to 500,866.88, 691,164.96 and 274,496.32

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Solution

The fourth proportional to 500,866.88, 691,164.96 and 274,496.32 is: 378,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,866.88 : 691,164.96 = 274,496.32 : x
  2. Step 2: Convert to fraction form
    500,866.88/691,164.96 = 274,496.32/x
  3. Step 3: Cross multiply
    500,866.88x = 691,164.96 × 274,496.32
  4. Step 4: Simplify right side
    500,866.88x = 189,722,238,032.95
  5. Step 5: Solve for x
    x = 189,722,238,032.95/500,866.88
  6. Step 6: Final answer
    x = 378,787.75

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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.