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Finding the Fourth Proportional to 538,188.57, 806,298.30 and 254,113.74

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Solution

The fourth proportional to 538,188.57, 806,298.30 and 254,113.74 is: 380,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,188.57 : 806,298.30 = 254,113.74 : x
  2. Step 2: Convert to fraction form
    538,188.57/806,298.30 = 254,113.74/x
  3. Step 3: Cross multiply
    538,188.57x = 806,298.30 × 254,113.74
  4. Step 4: Simplify right side
    538,188.57x = 204,891,476,568.64
  5. Step 5: Solve for x
    x = 204,891,476,568.64/538,188.57
  6. Step 6: Final answer
    x = 380,705.74

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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.