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Finding the Fourth Proportional to 500,914.08, 691,273.44 and 274,572

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Solution

The fourth proportional to 500,914.08, 691,273.44 and 274,572 is: 378,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,914.08 : 691,273.44 = 274,572 : x
  2. Step 2: Convert to fraction form
    500,914.08/691,273.44 = 274,572/x
  3. Step 3: Cross multiply
    500,914.08x = 691,273.44 × 274,572
  4. Step 4: Simplify right side
    500,914.08x = 189,804,330,967.68
  5. Step 5: Solve for x
    x = 189,804,330,967.68/500,914.08
  6. Step 6: Final answer
    x = 378,915.94

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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.