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Finding the Fourth Proportional to 411,559.20, 617,047.20 and 187,027.20

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Solution

The fourth proportional to 411,559.20, 617,047.20 and 187,027.20 is: 280,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,559.20 : 617,047.20 = 187,027.20 : x
  2. Step 2: Convert to fraction form
    411,559.20/617,047.20 = 187,027.20/x
  3. Step 3: Cross multiply
    411,559.20x = 617,047.20 × 187,027.20
  4. Step 4: Simplify right side
    411,559.20x = 115,404,610,083.84
  5. Step 5: Solve for x
    x = 115,404,610,083.84/411,559.20
  6. Step 6: Final answer
    x = 280,408.29

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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.