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Finding the Fourth Proportional to 433,811.60, 650,717.40 and 389,634.20

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Solution

The fourth proportional to 433,811.60, 650,717.40 and 389,634.20 is: 584,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,811.60 : 650,717.40 = 389,634.20 : x
  2. Step 2: Convert to fraction form
    433,811.60/650,717.40 = 389,634.20/x
  3. Step 3: Cross multiply
    433,811.60x = 650,717.40 × 389,634.20
  4. Step 4: Simplify right side
    433,811.60x = 253,541,753,575.08
  5. Step 5: Solve for x
    x = 253,541,753,575.08/433,811.60
  6. Step 6: Final answer
    x = 584,451.30

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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.