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Finding the Fourth Proportional to 289,783, 399,902 and 169,008.04

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Solution

The fourth proportional to 289,783, 399,902 and 169,008.04 is: 233,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783 : 399,902 = 169,008.04 : x
  2. Step 2: Convert to fraction form
    289,783/399,902 = 169,008.04/x
  3. Step 3: Cross multiply
    289,783x = 399,902 × 169,008.04
  4. Step 4: Simplify right side
    289,783x = 67,586,653,212.08
  5. Step 5: Solve for x
    x = 67,586,653,212.08/289,783
  6. Step 6: Final answer
    x = 233,231.95

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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.