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Finding the Fourth Proportional to 411,201.20, 616,521 and 219,104.48

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Solution

The fourth proportional to 411,201.20, 616,521 and 219,104.48 is: 328,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,201.20 : 616,521 = 219,104.48 : x
  2. Step 2: Convert to fraction form
    411,201.20/616,521 = 219,104.48/x
  3. Step 3: Cross multiply
    411,201.20x = 616,521 × 219,104.48
  4. Step 4: Simplify right side
    411,201.20x = 135,082,513,114.08
  5. Step 5: Solve for x
    x = 135,082,513,114.08/411,201.20
  6. Step 6: Final answer
    x = 328,507.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.