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Finding the Fourth Proportional to 289,221.60, 433,832.40 and 194,743.20

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Solution

The fourth proportional to 289,221.60, 433,832.40 and 194,743.20 is: 292,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,221.60 : 433,832.40 = 194,743.20 : x
  2. Step 2: Convert to fraction form
    289,221.60/433,832.40 = 194,743.20/x
  3. Step 3: Cross multiply
    289,221.60x = 433,832.40 × 194,743.20
  4. Step 4: Simplify right side
    289,221.60x = 84,485,909,839.68
  5. Step 5: Solve for x
    x = 84,485,909,839.68/289,221.60
  6. Step 6: Final answer
    x = 292,114.80

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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.