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Finding the Fourth Proportional to 411,580.80, 617,371.20 and 145,339.20

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Solution

The fourth proportional to 411,580.80, 617,371.20 and 145,339.20 is: 218,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,580.80 : 617,371.20 = 145,339.20 : x
  2. Step 2: Convert to fraction form
    411,580.80/617,371.20 = 145,339.20/x
  3. Step 3: Cross multiply
    411,580.80x = 617,371.20 × 145,339.20
  4. Step 4: Simplify right side
    411,580.80x = 89,728,236,311.04
  5. Step 5: Solve for x
    x = 89,728,236,311.04/411,580.80
  6. Step 6: Final answer
    x = 218,008.80

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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.