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Finding the Fourth Proportional to 538,704.81, 808,295.28 and 282,476.22

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Solution

The fourth proportional to 538,704.81, 808,295.28 and 282,476.22 is: 423,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,704.81 : 808,295.28 = 282,476.22 : x
  2. Step 2: Convert to fraction form
    538,704.81/808,295.28 = 282,476.22/x
  3. Step 3: Cross multiply
    538,704.81x = 808,295.28 × 282,476.22
  4. Step 4: Simplify right side
    538,704.81x = 228,324,195,338.24
  5. Step 5: Solve for x
    x = 228,324,195,338.24/538,704.81
  6. Step 6: Final answer
    x = 423,839.16

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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.