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Finding the Fourth Proportional to 490,694.40, 736,041.60 and 428,486.40

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Solution

The fourth proportional to 490,694.40, 736,041.60 and 428,486.40 is: 642,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,694.40 : 736,041.60 = 428,486.40 : x
  2. Step 2: Convert to fraction form
    490,694.40/736,041.60 = 428,486.40/x
  3. Step 3: Cross multiply
    490,694.40x = 736,041.60 × 428,486.40
  4. Step 4: Simplify right side
    490,694.40x = 315,383,815,434.24
  5. Step 5: Solve for x
    x = 315,383,815,434.24/490,694.40
  6. Step 6: Final answer
    x = 642,729.60

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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.