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Finding the Fourth Proportional to 289,135.92, 399,009.60 and 161,823.36

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Solution

The fourth proportional to 289,135.92, 399,009.60 and 161,823.36 is: 223,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,135.92 : 399,009.60 = 161,823.36 : x
  2. Step 2: Convert to fraction form
    289,135.92/399,009.60 = 161,823.36/x
  3. Step 3: Cross multiply
    289,135.92x = 399,009.60 × 161,823.36
  4. Step 4: Simplify right side
    289,135.92x = 64,569,074,144.26
  5. Step 5: Solve for x
    x = 64,569,074,144.26/289,135.92
  6. Step 6: Final answer
    x = 223,317.37

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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.