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Finding the Fourth Proportional to 531,213.44, 733,056 and 289,491.12

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Solution

The fourth proportional to 531,213.44, 733,056 and 289,491.12 is: 399,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,213.44 : 733,056 = 289,491.12 : x
  2. Step 2: Convert to fraction form
    531,213.44/733,056 = 289,491.12/x
  3. Step 3: Cross multiply
    531,213.44x = 733,056 × 289,491.12
  4. Step 4: Simplify right side
    531,213.44x = 212,213,202,462.72
  5. Step 5: Solve for x
    x = 212,213,202,462.72/531,213.44
  6. Step 6: Final answer
    x = 399,487.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.