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Finding the Fourth Proportional to 521,640.55, 782,513.87 and 180,039.52

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Solution

The fourth proportional to 521,640.55, 782,513.87 and 180,039.52 is: 270,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,640.55 : 782,513.87 = 180,039.52 : x
  2. Step 2: Convert to fraction form
    521,640.55/782,513.87 = 180,039.52/x
  3. Step 3: Cross multiply
    521,640.55x = 782,513.87 × 180,039.52
  4. Step 4: Simplify right side
    521,640.55x = 140,883,421,548.14
  5. Step 5: Solve for x
    x = 140,883,421,548.14/521,640.55
  6. Step 6: Final answer
    x = 270,077.59

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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.