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Finding the Fourth Proportional to 538,310.39, 806,703.89 and 298,529.76

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Solution

The fourth proportional to 538,310.39, 806,703.89 and 298,529.76 is: 447,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,310.39 : 806,703.89 = 298,529.76 : x
  2. Step 2: Convert to fraction form
    538,310.39/806,703.89 = 298,529.76/x
  3. Step 3: Cross multiply
    538,310.39x = 806,703.89 × 298,529.76
  4. Step 4: Simplify right side
    538,310.39x = 240,825,120,800.63
  5. Step 5: Solve for x
    x = 240,825,120,800.63/538,310.39
  6. Step 6: Final answer
    x = 447,372.23

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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.