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Finding the Fourth Proportional to 403,489.49, 556,817.31 and 231,414.21

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Solution

The fourth proportional to 403,489.49, 556,817.31 and 231,414.21 is: 319,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,489.49 : 556,817.31 = 231,414.21 : x
  2. Step 2: Convert to fraction form
    403,489.49/556,817.31 = 231,414.21/x
  3. Step 3: Cross multiply
    403,489.49x = 556,817.31 × 231,414.21
  4. Step 4: Simplify right side
    403,489.49x = 128,855,437,907.98
  5. Step 5: Solve for x
    x = 128,855,437,907.98/403,489.49
  6. Step 6: Final answer
    x = 319,352.65

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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.