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Finding the Fourth Proportional to 426,804.24, 640,872.20 and 407,874.56

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Solution

The fourth proportional to 426,804.24, 640,872.20 and 407,874.56 is: 612,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,804.24 : 640,872.20 = 407,874.56 : x
  2. Step 2: Convert to fraction form
    426,804.24/640,872.20 = 407,874.56/x
  3. Step 3: Cross multiply
    426,804.24x = 640,872.20 × 407,874.56
  4. Step 4: Simplify right side
    426,804.24x = 261,395,466,591.23
  5. Step 5: Solve for x
    x = 261,395,466,591.23/426,804.24
  6. Step 6: Final answer
    x = 612,448.15

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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.