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Finding the Fourth Proportional to 278,783.64, 418,126.11 and 126,945.90

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Solution

The fourth proportional to 278,783.64, 418,126.11 and 126,945.90 is: 190,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,783.64 : 418,126.11 = 126,945.90 : x
  2. Step 2: Convert to fraction form
    278,783.64/418,126.11 = 126,945.90/x
  3. Step 3: Cross multiply
    278,783.64x = 418,126.11 × 126,945.90
  4. Step 4: Simplify right side
    278,783.64x = 53,079,395,347.45
  5. Step 5: Solve for x
    x = 53,079,395,347.45/278,783.64
  6. Step 6: Final answer
    x = 190,396.38

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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.