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Finding the Fourth Proportional to 531,205.64, 733,037.67 and 289,487.48

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Solution

The fourth proportional to 531,205.64, 733,037.67 and 289,487.48 is: 399,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,205.64 : 733,037.67 = 289,487.48 : x
  2. Step 2: Convert to fraction form
    531,205.64/733,037.67 = 289,487.48/x
  3. Step 3: Cross multiply
    531,205.64x = 733,037.67 × 289,487.48
  4. Step 4: Simplify right side
    531,205.64x = 212,205,227,833.37
  5. Step 5: Solve for x
    x = 212,205,227,833.37/531,205.64
  6. Step 6: Final answer
    x = 399,478.49

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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.