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Finding the Fourth Proportional to 538,704.04, 807,880.21 and 178,778.22

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Solution

The fourth proportional to 538,704.04, 807,880.21 and 178,778.22 is: 268,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,704.04 : 807,880.21 = 178,778.22 : x
  2. Step 2: Convert to fraction form
    538,704.04/807,880.21 = 178,778.22/x
  3. Step 3: Cross multiply
    538,704.04x = 807,880.21 × 178,778.22
  4. Step 4: Simplify right side
    538,704.04x = 144,431,385,917.03
  5. Step 5: Solve for x
    x = 144,431,385,917.03/538,704.04
  6. Step 6: Final answer
    x = 268,108.97

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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.