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Finding the Fourth Proportional to 381,993.60, 572,817.60 and 145,257.60

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Solution

The fourth proportional to 381,993.60, 572,817.60 and 145,257.60 is: 217,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,993.60 : 572,817.60 = 145,257.60 : x
  2. Step 2: Convert to fraction form
    381,993.60/572,817.60 = 145,257.60/x
  3. Step 3: Cross multiply
    381,993.60x = 572,817.60 × 145,257.60
  4. Step 4: Simplify right side
    381,993.60x = 83,206,109,813.76
  5. Step 5: Solve for x
    x = 83,206,109,813.76/381,993.60
  6. Step 6: Final answer
    x = 217,820.69

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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.