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Finding the Fourth Proportional to 521,797.36, 721,529.84 and 414,180.56

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Solution

The fourth proportional to 521,797.36, 721,529.84 and 414,180.56 is: 572,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,797.36 : 721,529.84 = 414,180.56 : x
  2. Step 2: Convert to fraction form
    521,797.36/721,529.84 = 414,180.56/x
  3. Step 3: Cross multiply
    521,797.36x = 721,529.84 × 414,180.56
  4. Step 4: Simplify right side
    521,797.36x = 298,843,633,187.91
  5. Step 5: Solve for x
    x = 298,843,633,187.91/521,797.36
  6. Step 6: Final answer
    x = 572,719.71

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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.