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Finding the Fourth Proportional to 289,166.29, 399,050.85 and 161,866.49

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Solution

The fourth proportional to 289,166.29, 399,050.85 and 161,866.49 is: 223,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,166.29 : 399,050.85 = 161,866.49 : x
  2. Step 2: Convert to fraction form
    289,166.29/399,050.85 = 161,866.49/x
  3. Step 3: Cross multiply
    289,166.29x = 399,050.85 × 161,866.49
  4. Step 4: Simplify right side
    289,166.29x = 64,592,959,611.68
  5. Step 5: Solve for x
    x = 64,592,959,611.68/289,166.29
  6. Step 6: Final answer
    x = 223,376.52

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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.