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Finding the Fourth Proportional to 289,667.22, 399,734.64 and 162,340.08

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Solution

The fourth proportional to 289,667.22, 399,734.64 and 162,340.08 is: 224,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,667.22 : 399,734.64 = 162,340.08 : x
  2. Step 2: Convert to fraction form
    289,667.22/399,734.64 = 162,340.08/x
  3. Step 3: Cross multiply
    289,667.22x = 399,734.64 × 162,340.08
  4. Step 4: Simplify right side
    289,667.22x = 64,892,953,436.37
  5. Step 5: Solve for x
    x = 64,892,953,436.37/289,667.22
  6. Step 6: Final answer
    x = 224,025.88

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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.