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Finding the Fourth Proportional to 289,159.14, 399,039.56 and 161,834.73

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Solution

The fourth proportional to 289,159.14, 399,039.56 and 161,834.73 is: 223,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,159.14 : 399,039.56 = 161,834.73 : x
  2. Step 2: Convert to fraction form
    289,159.14/399,039.56 = 161,834.73/x
  3. Step 3: Cross multiply
    289,159.14x = 399,039.56 × 161,834.73
  4. Step 4: Simplify right side
    289,159.14x = 64,578,462,030.44
  5. Step 5: Solve for x
    x = 64,578,462,030.44/289,159.14
  6. Step 6: Final answer
    x = 223,331.91

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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.