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Finding the Fourth Proportional to 613,314.12, 919,660.14 and 280,605

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Solution

The fourth proportional to 613,314.12, 919,660.14 and 280,605 is: 420,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,314.12 : 919,660.14 = 280,605 : x
  2. Step 2: Convert to fraction form
    613,314.12/919,660.14 = 280,605/x
  3. Step 3: Cross multiply
    613,314.12x = 919,660.14 × 280,605
  4. Step 4: Simplify right side
    613,314.12x = 258,061,233,584.70
  5. Step 5: Solve for x
    x = 258,061,233,584.70/613,314.12
  6. Step 6: Final answer
    x = 420,765.19

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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.