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Finding the Fourth Proportional to 416,121.60, 624,182.40 and 256,324.80

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Solution

The fourth proportional to 416,121.60, 624,182.40 and 256,324.80 is: 384,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,121.60 : 624,182.40 = 256,324.80 : x
  2. Step 2: Convert to fraction form
    416,121.60/624,182.40 = 256,324.80/x
  3. Step 3: Cross multiply
    416,121.60x = 624,182.40 × 256,324.80
  4. Step 4: Simplify right side
    416,121.60x = 159,993,428,843.52
  5. Step 5: Solve for x
    x = 159,993,428,843.52/416,121.60
  6. Step 6: Final answer
    x = 384,487.20

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1.5x scale

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.