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Finding the Fourth Proportional to 330,854.20, 496,742.10 and 206,438.20

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Solution

The fourth proportional to 330,854.20, 496,742.10 and 206,438.20 is: 309,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,854.20 : 496,742.10 = 206,438.20 : x
  2. Step 2: Convert to fraction form
    330,854.20/496,742.10 = 206,438.20/x
  3. Step 3: Cross multiply
    330,854.20x = 496,742.10 × 206,438.20
  4. Step 4: Simplify right side
    330,854.20x = 102,546,544,988.22
  5. Step 5: Solve for x
    x = 102,546,544,988.22/330,854.20
  6. Step 6: Final answer
    x = 309,944.82

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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.