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Finding the Fourth Proportional to 520,197.66, 780,739.36 and 204,876

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Solution

The fourth proportional to 520,197.66, 780,739.36 and 204,876 is: 307,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,197.66 : 780,739.36 = 204,876 : x
  2. Step 2: Convert to fraction form
    520,197.66/780,739.36 = 204,876/x
  3. Step 3: Cross multiply
    520,197.66x = 780,739.36 × 204,876
  4. Step 4: Simplify right side
    520,197.66x = 159,954,756,607.17
  5. Step 5: Solve for x
    x = 159,954,756,607.17/520,197.66
  6. Step 6: Final answer
    x = 307,488.42

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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.