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Finding the Fourth Proportional to 531,614.31, 733,645.47 and 289,910.12

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Solution

The fourth proportional to 531,614.31, 733,645.47 and 289,910.12 is: 400,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,614.31 : 733,645.47 = 289,910.12 : x
  2. Step 2: Convert to fraction form
    531,614.31/733,645.47 = 289,910.12/x
  3. Step 3: Cross multiply
    531,614.31x = 733,645.47 × 289,910.12
  4. Step 4: Simplify right side
    531,614.31x = 212,691,242,576.93
  5. Step 5: Solve for x
    x = 212,691,242,576.93/531,614.31
  6. Step 6: Final answer
    x = 400,085.62

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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.