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Finding the Fourth Proportional to 416,286.84, 624,430.28 and 100,743.76

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Solution

The fourth proportional to 416,286.84, 624,430.28 and 100,743.76 is: 151,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,286.84 : 624,430.28 = 100,743.76 : x
  2. Step 2: Convert to fraction form
    416,286.84/624,430.28 = 100,743.76/x
  3. Step 3: Cross multiply
    416,286.84x = 624,430.28 × 100,743.76
  4. Step 4: Simplify right side
    416,286.84x = 62,907,454,265.05
  5. Step 5: Solve for x
    x = 62,907,454,265.05/416,286.84
  6. Step 6: Final answer
    x = 151,115.64

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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.