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Finding the Fourth Proportional to 432,758.40, 649,137.60 and 416,169.60

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Solution

The fourth proportional to 432,758.40, 649,137.60 and 416,169.60 is: 624,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,758.40 : 649,137.60 = 416,169.60 : x
  2. Step 2: Convert to fraction form
    432,758.40/649,137.60 = 416,169.60/x
  3. Step 3: Cross multiply
    432,758.40x = 649,137.60 × 416,169.60
  4. Step 4: Simplify right side
    432,758.40x = 270,151,335,336.96
  5. Step 5: Solve for x
    x = 270,151,335,336.96/432,758.40
  6. Step 6: Final answer
    x = 624,254.40

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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.