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Finding the Fourth Proportional to 531,181.41, 733,029.21 and 289,463.40

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Solution

The fourth proportional to 531,181.41, 733,029.21 and 289,463.40 is: 399,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,181.41 : 733,029.21 = 289,463.40 : x
  2. Step 2: Convert to fraction form
    531,181.41/733,029.21 = 289,463.40/x
  3. Step 3: Cross multiply
    531,181.41x = 733,029.21 × 289,463.40
  4. Step 4: Simplify right side
    531,181.41x = 212,185,127,425.91
  5. Step 5: Solve for x
    x = 212,185,127,425.91/531,181.41
  6. Step 6: Final answer
    x = 399,458.87

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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.