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Finding the Fourth Proportional to 411,973.20, 617,383.80 and 327,877.20

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Solution

The fourth proportional to 411,973.20, 617,383.80 and 327,877.20 is: 491,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,973.20 : 617,383.80 = 327,877.20 : x
  2. Step 2: Convert to fraction form
    411,973.20/617,383.80 = 327,877.20/x
  3. Step 3: Cross multiply
    411,973.20x = 617,383.80 × 327,877.20
  4. Step 4: Simplify right side
    411,973.20x = 202,426,071,669.36
  5. Step 5: Solve for x
    x = 202,426,071,669.36/411,973.20
  6. Step 6: Final answer
    x = 491,357.38

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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.