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Finding the Fourth Proportional to 531,205.72, 733,045.26 and 289,483.36

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Solution

The fourth proportional to 531,205.72, 733,045.26 and 289,483.36 is: 399,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,205.72 : 733,045.26 = 289,483.36 : x
  2. Step 2: Convert to fraction form
    531,205.72/733,045.26 = 289,483.36/x
  3. Step 3: Cross multiply
    531,205.72x = 733,045.26 × 289,483.36
  4. Step 4: Simplify right side
    531,205.72x = 212,204,404,896.87
  5. Step 5: Solve for x
    x = 212,204,404,896.87/531,205.72
  6. Step 6: Final answer
    x = 399,476.88

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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.