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Finding the Fourth Proportional to 647,530.61, 969,464.30 and 343,231.43

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Solution

The fourth proportional to 647,530.61, 969,464.30 and 343,231.43 is: 513,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,530.61 : 969,464.30 = 343,231.43 : x
  2. Step 2: Convert to fraction form
    647,530.61/969,464.30 = 343,231.43/x
  3. Step 3: Cross multiply
    647,530.61x = 969,464.30 × 343,231.43
  4. Step 4: Simplify right side
    647,530.61x = 332,750,611,459.47
  5. Step 5: Solve for x
    x = 332,750,611,459.47/647,530.61
  6. Step 6: Final answer
    x = 513,876.27

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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.