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Finding the Fourth Proportional to 289,419.20, 434,128.80 and 277,131.20

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Solution

The fourth proportional to 289,419.20, 434,128.80 and 277,131.20 is: 415,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,419.20 : 434,128.80 = 277,131.20 : x
  2. Step 2: Convert to fraction form
    289,419.20/434,128.80 = 277,131.20/x
  3. Step 3: Cross multiply
    289,419.20x = 434,128.80 × 277,131.20
  4. Step 4: Simplify right side
    289,419.20x = 120,310,635,298.56
  5. Step 5: Solve for x
    x = 120,310,635,298.56/289,419.20
  6. Step 6: Final answer
    x = 415,696.80

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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.