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Finding the Fourth Proportional to 454,190.40, 680,399.82 and 391,007.97

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Solution

The fourth proportional to 454,190.40, 680,399.82 and 391,007.97 is: 585,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,190.40 : 680,399.82 = 391,007.97 : x
  2. Step 2: Convert to fraction form
    454,190.40/680,399.82 = 391,007.97/x
  3. Step 3: Cross multiply
    454,190.40x = 680,399.82 × 391,007.97
  4. Step 4: Simplify right side
    454,190.40x = 266,041,752,406.57
  5. Step 5: Solve for x
    x = 266,041,752,406.57/454,190.40
  6. Step 6: Final answer
    x = 585,749.40

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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.