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Finding the Fourth Proportional to 321,301.80, 481,952.70 and 309,054.60

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Solution

The fourth proportional to 321,301.80, 481,952.70 and 309,054.60 is: 463,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,301.80 : 481,952.70 = 309,054.60 : x
  2. Step 2: Convert to fraction form
    321,301.80/481,952.70 = 309,054.60/x
  3. Step 3: Cross multiply
    321,301.80x = 481,952.70 × 309,054.60
  4. Step 4: Simplify right side
    321,301.80x = 148,949,698,917.42
  5. Step 5: Solve for x
    x = 148,949,698,917.42/321,301.80
  6. Step 6: Final answer
    x = 463,581.90

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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.