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Finding the Fourth Proportional to 279,653.28, 419,487.20 and 69,288.16

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Solution

The fourth proportional to 279,653.28, 419,487.20 and 69,288.16 is: 103,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,653.28 : 419,487.20 = 69,288.16 : x
  2. Step 2: Convert to fraction form
    279,653.28/419,487.20 = 69,288.16/x
  3. Step 3: Cross multiply
    279,653.28x = 419,487.20 × 69,288.16
  4. Step 4: Simplify right side
    279,653.28x = 29,065,496,231.55
  5. Step 5: Solve for x
    x = 29,065,496,231.55/279,653.28
  6. Step 6: Final answer
    x = 103,934.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.