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Finding the Fourth Proportional to 331,611.96, 457,161.12 and 280,419.30

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Solution

The fourth proportional to 331,611.96, 457,161.12 and 280,419.30 is: 386,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,611.96 : 457,161.12 = 280,419.30 : x
  2. Step 2: Convert to fraction form
    331,611.96/457,161.12 = 280,419.30/x
  3. Step 3: Cross multiply
    331,611.96x = 457,161.12 × 280,419.30
  4. Step 4: Simplify right side
    331,611.96x = 128,196,799,855.52
  5. Step 5: Solve for x
    x = 128,196,799,855.52/331,611.96
  6. Step 6: Final answer
    x = 386,586.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.