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Finding the Fourth Proportional to 416,426.80, 624,494.40 and 216,680.80

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Solution

The fourth proportional to 416,426.80, 624,494.40 and 216,680.80 is: 324,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,426.80 : 624,494.40 = 216,680.80 : x
  2. Step 2: Convert to fraction form
    416,426.80/624,494.40 = 216,680.80/x
  3. Step 3: Cross multiply
    416,426.80x = 624,494.40 × 216,680.80
  4. Step 4: Simplify right side
    416,426.80x = 135,315,946,187.52
  5. Step 5: Solve for x
    x = 135,315,946,187.52/416,426.80
  6. Step 6: Final answer
    x = 324,945.34

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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.