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Finding the Fourth Proportional to 490,623.40, 735,935.10 and 428,415.40

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Solution

The fourth proportional to 490,623.40, 735,935.10 and 428,415.40 is: 642,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,623.40 : 735,935.10 = 428,415.40 : x
  2. Step 2: Convert to fraction form
    490,623.40/735,935.10 = 428,415.40/x
  3. Step 3: Cross multiply
    490,623.40x = 735,935.10 × 428,415.40
  4. Step 4: Simplify right side
    490,623.40x = 315,285,930,240.54
  5. Step 5: Solve for x
    x = 315,285,930,240.54/490,623.40
  6. Step 6: Final answer
    x = 642,623.10

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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.