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Finding the Fourth Proportional to 288,093.60, 431,103.60 and 194,781.60

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Solution

The fourth proportional to 288,093.60, 431,103.60 and 194,781.60 is: 291,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,093.60 : 431,103.60 = 194,781.60 : x
  2. Step 2: Convert to fraction form
    288,093.60/431,103.60 = 194,781.60/x
  3. Step 3: Cross multiply
    288,093.60x = 431,103.60 × 194,781.60
  4. Step 4: Simplify right side
    288,093.60x = 83,971,048,973.76
  5. Step 5: Solve for x
    x = 83,971,048,973.76/288,093.60
  6. Step 6: Final answer
    x = 291,471.41

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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.