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Finding the Fourth Proportional to 313,936.64, 470,854.44 and 86,179.12

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Solution

The fourth proportional to 313,936.64, 470,854.44 and 86,179.12 is: 129,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,936.64 : 470,854.44 = 86,179.12 : x
  2. Step 2: Convert to fraction form
    313,936.64/470,854.44 = 86,179.12/x
  3. Step 3: Cross multiply
    313,936.64x = 470,854.44 × 86,179.12
  4. Step 4: Simplify right side
    313,936.64x = 40,577,821,287.29
  5. Step 5: Solve for x
    x = 40,577,821,287.29/313,936.64
  6. Step 6: Final answer
    x = 129,254.81

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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.