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Finding the Fourth Proportional to 538,698.53, 807,871.97 and 178,772.72

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Solution

The fourth proportional to 538,698.53, 807,871.97 and 178,772.72 is: 268,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,698.53 : 807,871.97 = 178,772.72 : x
  2. Step 2: Convert to fraction form
    538,698.53/807,871.97 = 178,772.72/x
  3. Step 3: Cross multiply
    538,698.53x = 807,871.97 × 178,772.72
  4. Step 4: Simplify right side
    538,698.53x = 144,425,465,896.23
  5. Step 5: Solve for x
    x = 144,425,465,896.23/538,698.53
  6. Step 6: Final answer
    x = 268,100.72

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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.