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Finding the Fourth Proportional to 313,449.48, 470,253.78 and 145,091.25

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Solution

The fourth proportional to 313,449.48, 470,253.78 and 145,091.25 is: 217,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,449.48 : 470,253.78 = 145,091.25 : x
  2. Step 2: Convert to fraction form
    313,449.48/470,253.78 = 145,091.25/x
  3. Step 3: Cross multiply
    313,449.48x = 470,253.78 × 145,091.25
  4. Step 4: Simplify right side
    313,449.48x = 68,229,708,757.43
  5. Step 5: Solve for x
    x = 68,229,708,757.43/313,449.48
  6. Step 6: Final answer
    x = 217,673.70

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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.