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Finding the Fourth Proportional to 465,847.80, 698,771.70 and 431,633.40

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Solution

The fourth proportional to 465,847.80, 698,771.70 and 431,633.40 is: 647,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,847.80 : 698,771.70 = 431,633.40 : x
  2. Step 2: Convert to fraction form
    465,847.80/698,771.70 = 431,633.40/x
  3. Step 3: Cross multiply
    465,847.80x = 698,771.70 × 431,633.40
  4. Step 4: Simplify right side
    465,847.80x = 301,613,204,694.78
  5. Step 5: Solve for x
    x = 301,613,204,694.78/465,847.80
  6. Step 6: Final answer
    x = 647,450.10

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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.