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Finding the Fourth Proportional to 531,410.58, 733,340.54 and 289,687.82

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Solution

The fourth proportional to 531,410.58, 733,340.54 and 289,687.82 is: 399,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,410.58 : 733,340.54 = 289,687.82 : x
  2. Step 2: Convert to fraction form
    531,410.58/733,340.54 = 289,687.82/x
  3. Step 3: Cross multiply
    531,410.58x = 733,340.54 × 289,687.82
  4. Step 4: Simplify right side
    531,410.58x = 212,439,822,350.22
  5. Step 5: Solve for x
    x = 212,439,822,350.22/531,410.58
  6. Step 6: Final answer
    x = 399,765.89

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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.