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Finding the Fourth Proportional to 289,282.59, 399,228.35 and 161,965.17

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Solution

The fourth proportional to 289,282.59, 399,228.35 and 161,965.17 is: 223,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,282.59 : 399,228.35 = 161,965.17 : x
  2. Step 2: Convert to fraction form
    289,282.59/399,228.35 = 161,965.17/x
  3. Step 3: Cross multiply
    289,282.59x = 399,228.35 × 161,965.17
  4. Step 4: Simplify right side
    289,282.59x = 64,661,086,766.74
  5. Step 5: Solve for x
    x = 64,661,086,766.74/289,282.59
  6. Step 6: Final answer
    x = 223,522.22

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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.