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Finding the Fourth Proportional to 538,400.76, 806,839.79 and 298,620.30

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Solution

The fourth proportional to 538,400.76, 806,839.79 and 298,620.30 is: 447,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,400.76 : 806,839.79 = 298,620.30 : x
  2. Step 2: Convert to fraction form
    538,400.76/806,839.79 = 298,620.30/x
  3. Step 3: Cross multiply
    538,400.76x = 806,839.79 × 298,620.30
  4. Step 4: Simplify right side
    538,400.76x = 240,938,740,141.74
  5. Step 5: Solve for x
    x = 240,938,740,141.74/538,400.76
  6. Step 6: Final answer
    x = 447,508.17

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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.