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Finding the Fourth Proportional to 416,364.80, 624,393.60 and 135,891.20

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Solution

The fourth proportional to 416,364.80, 624,393.60 and 135,891.20 is: 203,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,364.80 : 624,393.60 = 135,891.20 : x
  2. Step 2: Convert to fraction form
    416,364.80/624,393.60 = 135,891.20/x
  3. Step 3: Cross multiply
    416,364.80x = 624,393.60 × 135,891.20
  4. Step 4: Simplify right side
    416,364.80x = 84,849,595,576.32
  5. Step 5: Solve for x
    x = 84,849,595,576.32/416,364.80
  6. Step 6: Final answer
    x = 203,786.67

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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.