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Finding the Fourth Proportional to 289,147.75, 399,023.85 and 161,823.34

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Solution

The fourth proportional to 289,147.75, 399,023.85 and 161,823.34 is: 223,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147.75 : 399,023.85 = 161,823.34 : x
  2. Step 2: Convert to fraction form
    289,147.75/399,023.85 = 161,823.34/x
  3. Step 3: Cross multiply
    289,147.75x = 399,023.85 × 161,823.34
  4. Step 4: Simplify right side
    289,147.75x = 64,571,373,009.15
  5. Step 5: Solve for x
    x = 64,571,373,009.15/289,147.75
  6. Step 6: Final answer
    x = 223,316.19

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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.