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Finding the Fourth Proportional to 531,156, 796,850.64 and 198,732

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Solution

The fourth proportional to 531,156, 796,850.64 and 198,732 is: 298,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,156 : 796,850.64 = 198,732 : x
  2. Step 2: Convert to fraction form
    531,156/796,850.64 = 198,732/x
  3. Step 3: Cross multiply
    531,156x = 796,850.64 × 198,732
  4. Step 4: Simplify right side
    531,156x = 158,359,721,388.48
  5. Step 5: Solve for x
    x = 158,359,721,388.48/531,156
  6. Step 6: Final answer
    x = 298,141.64

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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.