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Finding the Fourth Proportional to 647,716.60, 970,862.10 and 226,775.80

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Solution

The fourth proportional to 647,716.60, 970,862.10 and 226,775.80 is: 339,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,716.60 : 970,862.10 = 226,775.80 : x
  2. Step 2: Convert to fraction form
    647,716.60/970,862.10 = 226,775.80/x
  3. Step 3: Cross multiply
    647,716.60x = 970,862.10 × 226,775.80
  4. Step 4: Simplify right side
    647,716.60x = 220,168,029,417.18
  5. Step 5: Solve for x
    x = 220,168,029,417.18/647,716.60
  6. Step 6: Final answer
    x = 339,914.14

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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.