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Finding the Fourth Proportional to 647,609.16, 970,825.66 and 226,655.40

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Solution

The fourth proportional to 647,609.16, 970,825.66 and 226,655.40 is: 339,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,609.16 : 970,825.66 = 226,655.40 : x
  2. Step 2: Convert to fraction form
    647,609.16/970,825.66 = 226,655.40/x
  3. Step 3: Cross multiply
    647,609.16x = 970,825.66 × 226,655.40
  4. Step 4: Simplify right side
    647,609.16x = 220,042,878,297.56
  5. Step 5: Solve for x
    x = 220,042,878,297.56/647,609.16
  6. Step 6: Final answer
    x = 339,777.28

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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.