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Finding the Fourth Proportional to 647,600.47, 970,812.64 and 226,646.71

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Solution

The fourth proportional to 647,600.47, 970,812.64 and 226,646.71 is: 339,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,600.47 : 970,812.64 = 226,646.71 : x
  2. Step 2: Convert to fraction form
    647,600.47/970,812.64 = 226,646.71/x
  3. Step 3: Cross multiply
    647,600.47x = 970,812.64 × 226,646.71
  4. Step 4: Simplify right side
    647,600.47x = 220,031,488,738.69
  5. Step 5: Solve for x
    x = 220,031,488,738.69/647,600.47
  6. Step 6: Final answer
    x = 339,764.25

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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.