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Finding the Fourth Proportional to 491,668.36, 678,525.30 and 298,082.12

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Solution

The fourth proportional to 491,668.36, 678,525.30 and 298,082.12 is: 411,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,668.36 : 678,525.30 = 298,082.12 : x
  2. Step 2: Convert to fraction form
    491,668.36/678,525.30 = 298,082.12/x
  3. Step 3: Cross multiply
    491,668.36x = 678,525.30 × 298,082.12
  4. Step 4: Simplify right side
    491,668.36x = 202,256,259,897.64
  5. Step 5: Solve for x
    x = 202,256,259,897.64/491,668.36
  6. Step 6: Final answer
    x = 411,367.25

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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.