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Finding the Fourth Proportional to 491,498.48, 677,918.49 and 328,072.58

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Solution

The fourth proportional to 491,498.48, 677,918.49 and 328,072.58 is: 452,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,498.48 : 677,918.49 = 328,072.58 : x
  2. Step 2: Convert to fraction form
    491,498.48/677,918.49 = 328,072.58/x
  3. Step 3: Cross multiply
    491,498.48x = 677,918.49 × 328,072.58
  4. Step 4: Simplify right side
    491,498.48x = 222,406,466,889.04
  5. Step 5: Solve for x
    x = 222,406,466,889.04/491,498.48
  6. Step 6: Final answer
    x = 452,506.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.