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Finding the Fourth Proportional to 538,707.82, 808,299.78 and 282,479.22

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Solution

The fourth proportional to 538,707.82, 808,299.78 and 282,479.22 is: 423,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,707.82 : 808,299.78 = 282,479.22 : x
  2. Step 2: Convert to fraction form
    538,707.82/808,299.78 = 282,479.22/x
  3. Step 3: Cross multiply
    538,707.82x = 808,299.78 × 282,479.22
  4. Step 4: Simplify right side
    538,707.82x = 228,327,891,380.57
  5. Step 5: Solve for x
    x = 228,327,891,380.57/538,707.82
  6. Step 6: Final answer
    x = 423,843.65

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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.