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Finding the Fourth Proportional to 431,575.84, 647,441.44 and 132,050.88

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Solution

The fourth proportional to 431,575.84, 647,441.44 and 132,050.88 is: 198,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,575.84 : 647,441.44 = 132,050.88 : x
  2. Step 2: Convert to fraction form
    431,575.84/647,441.44 = 132,050.88/x
  3. Step 3: Cross multiply
    431,575.84x = 647,441.44 × 132,050.88
  4. Step 4: Simplify right side
    431,575.84x = 85,495,211,900.47
  5. Step 5: Solve for x
    x = 85,495,211,900.47/431,575.84
  6. Step 6: Final answer
    x = 198,100.09

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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.