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Finding the Fourth Proportional to 647,939.60, 971,196.60 and 226,998.80

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Solution

The fourth proportional to 647,939.60, 971,196.60 and 226,998.80 is: 340,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,939.60 : 971,196.60 = 226,998.80 : x
  2. Step 2: Convert to fraction form
    647,939.60/971,196.60 = 226,998.80/x
  3. Step 3: Cross multiply
    647,939.60x = 971,196.60 × 226,998.80
  4. Step 4: Simplify right side
    647,939.60x = 220,460,462,764.08
  5. Step 5: Solve for x
    x = 220,460,462,764.08/647,939.60
  6. Step 6: Final answer
    x = 340,248.48

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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.