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Finding the Fourth Proportional to 311,905.20, 467,857.80 and 278,662.80

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Solution

The fourth proportional to 311,905.20, 467,857.80 and 278,662.80 is: 417,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,905.20 : 467,857.80 = 278,662.80 : x
  2. Step 2: Convert to fraction form
    311,905.20/467,857.80 = 278,662.80/x
  3. Step 3: Cross multiply
    311,905.20x = 467,857.80 × 278,662.80
  4. Step 4: Simplify right side
    311,905.20x = 130,374,564,549.84
  5. Step 5: Solve for x
    x = 130,374,564,549.84/311,905.20
  6. Step 6: Final answer
    x = 417,994.20

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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.