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Finding the Fourth Proportional to 417,168, 625,771.44 and 121,680

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Solution

The fourth proportional to 417,168, 625,771.44 and 121,680 is: 182,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,168 : 625,771.44 = 121,680 : x
  2. Step 2: Convert to fraction form
    417,168/625,771.44 = 121,680/x
  3. Step 3: Cross multiply
    417,168x = 625,771.44 × 121,680
  4. Step 4: Simplify right side
    417,168x = 76,143,868,819.20
  5. Step 5: Solve for x
    x = 76,143,868,819.20/417,168
  6. Step 6: Final answer
    x = 182,525.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.