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Finding the Fourth Proportional to 289,429.65, 399,193.29 and 253,557.36

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Solution

The fourth proportional to 289,429.65, 399,193.29 and 253,557.36 is: 349,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,429.65 : 399,193.29 = 253,557.36 : x
  2. Step 2: Convert to fraction form
    289,429.65/399,193.29 = 253,557.36/x
  3. Step 3: Cross multiply
    289,429.65x = 399,193.29 × 253,557.36
  4. Step 4: Simplify right side
    289,429.65x = 101,218,396,742.11
  5. Step 5: Solve for x
    x = 101,218,396,742.11/289,429.65
  6. Step 6: Final answer
    x = 349,716.75

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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.