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Finding the Fourth Proportional to 416,340.28, 624,509.46 and 321,708.04

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Solution

The fourth proportional to 416,340.28, 624,509.46 and 321,708.04 is: 482,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,340.28 : 624,509.46 = 321,708.04 : x
  2. Step 2: Convert to fraction form
    416,340.28/624,509.46 = 321,708.04/x
  3. Step 3: Cross multiply
    416,340.28x = 624,509.46 × 321,708.04
  4. Step 4: Simplify right side
    416,340.28x = 200,909,714,338.06
  5. Step 5: Solve for x
    x = 200,909,714,338.06/416,340.28
  6. Step 6: Final answer
    x = 482,561.32

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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.