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Finding the Fourth Proportional to 416,741, 625,215.18 and 121,253

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Solution

The fourth proportional to 416,741, 625,215.18 and 121,253 is: 181,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,741 : 625,215.18 = 121,253 : x
  2. Step 2: Convert to fraction form
    416,741/625,215.18 = 121,253/x
  3. Step 3: Cross multiply
    416,741x = 625,215.18 × 121,253
  4. Step 4: Simplify right side
    416,741x = 75,809,216,220.54
  5. Step 5: Solve for x
    x = 75,809,216,220.54/416,741
  6. Step 6: Final answer
    x = 181,909.67

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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.