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Finding the Fourth Proportional to 289,212.72, 399,151.20 and 161,914.74

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Solution

The fourth proportional to 289,212.72, 399,151.20 and 161,914.74 is: 223,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212.72 : 399,151.20 = 161,914.74 : x
  2. Step 2: Convert to fraction form
    289,212.72/399,151.20 = 161,914.74/x
  3. Step 3: Cross multiply
    289,212.72x = 399,151.20 × 161,914.74
  4. Step 4: Simplify right side
    289,212.72x = 64,628,462,768.69
  5. Step 5: Solve for x
    x = 64,628,462,768.69/289,212.72
  6. Step 6: Final answer
    x = 223,463.42

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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.