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Finding the Fourth Proportional to 289,834.56, 399,630.24 and 268,338.24

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Solution

The fourth proportional to 289,834.56, 399,630.24 and 268,338.24 is: 369,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,834.56 : 399,630.24 = 268,338.24 : x
  2. Step 2: Convert to fraction form
    289,834.56/399,630.24 = 268,338.24/x
  3. Step 3: Cross multiply
    289,834.56x = 399,630.24 × 268,338.24
  4. Step 4: Simplify right side
    289,834.56x = 107,236,075,252.38
  5. Step 5: Solve for x
    x = 107,236,075,252.38/289,834.56
  6. Step 6: Final answer
    x = 369,990.64

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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.