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Finding the Fourth Proportional to 531,213.03, 733,064.31 and 289,497.69

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Solution

The fourth proportional to 531,213.03, 733,064.31 and 289,497.69 is: 399,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,213.03 : 733,064.31 = 289,497.69 : x
  2. Step 2: Convert to fraction form
    531,213.03/733,064.31 = 289,497.69/x
  3. Step 3: Cross multiply
    531,213.03x = 733,064.31 × 289,497.69
  4. Step 4: Simplify right side
    531,213.03x = 212,220,424,366.44
  5. Step 5: Solve for x
    x = 212,220,424,366.44/531,213.03
  6. Step 6: Final answer
    x = 399,501.54

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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.