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Finding the Fourth Proportional to 538,320.92, 806,719.67 and 298,540.29

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Solution

The fourth proportional to 538,320.92, 806,719.67 and 298,540.29 is: 447,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,320.92 : 806,719.67 = 298,540.29 : x
  2. Step 2: Convert to fraction form
    538,320.92/806,719.67 = 298,540.29/x
  3. Step 3: Cross multiply
    538,320.92x = 806,719.67 × 298,540.29
  4. Step 4: Simplify right side
    538,320.92x = 240,838,326,882.53
  5. Step 5: Solve for x
    x = 240,838,326,882.53/538,320.92
  6. Step 6: Final answer
    x = 447,388.02

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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.