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Finding the Fourth Proportional to 416,534.40, 624,801.60 and 400,204.80

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Solution

The fourth proportional to 416,534.40, 624,801.60 and 400,204.80 is: 600,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,534.40 : 624,801.60 = 400,204.80 : x
  2. Step 2: Convert to fraction form
    416,534.40/624,801.60 = 400,204.80/x
  3. Step 3: Cross multiply
    416,534.40x = 624,801.60 × 400,204.80
  4. Step 4: Simplify right side
    416,534.40x = 250,048,599,367.68
  5. Step 5: Solve for x
    x = 250,048,599,367.68/416,534.40
  6. Step 6: Final answer
    x = 600,307.20

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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.