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Finding the Fourth Proportional to 289,171.48, 399,056.59 and 161,847.07

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Solution

The fourth proportional to 289,171.48, 399,056.59 and 161,847.07 is: 223,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.48 : 399,056.59 = 161,847.07 : x
  2. Step 2: Convert to fraction form
    289,171.48/399,056.59 = 161,847.07/x
  3. Step 3: Cross multiply
    289,171.48x = 399,056.59 × 161,847.07
  4. Step 4: Simplify right side
    289,171.48x = 64,586,139,855.69
  5. Step 5: Solve for x
    x = 64,586,139,855.69/289,171.48
  6. Step 6: Final answer
    x = 223,348.93

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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.