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Finding the Fourth Proportional to 411,849.39, 617,537.48 and 219,486.94

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Solution

The fourth proportional to 411,849.39, 617,537.48 and 219,486.94 is: 329,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,849.39 : 617,537.48 = 219,486.94 : x
  2. Step 2: Convert to fraction form
    411,849.39/617,537.48 = 219,486.94/x
  3. Step 3: Cross multiply
    411,849.39x = 617,537.48 × 219,486.94
  4. Step 4: Simplify right side
    411,849.39x = 135,541,411,820.51
  5. Step 5: Solve for x
    x = 135,541,411,820.51/411,849.39
  6. Step 6: Final answer
    x = 329,104.32

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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.